Just to follow up ... we haven't heard if any of the information on the FAQ document has solved your issue. I have had and still do have similar issue (but have 'findings').
There are two notifications beyond the 'zipping backup'.
Copying zip file
Cleaning temp data
The entire routine should show:
Name: backup-gdocs-20130107-2138.zip
Creating temporary structures
Deleting old data
Creating XML file
Writing header
Writing general info
Writing course data
Course info
Blocks
Sections
Writing users info
Writing categories and questions
Writing scales info
Writing groups info
Writing groupings info
Writing groupings-groups info
Writing events info
Writing gradebook info
Writing modules info
Forums
Journals
Labels
Quizzes
Resources
Course format data
Copying course files
Copying site files used in course
Zipping backup
Copying zip file
Cleaning temp data
Backup completed successfully
The FAQ referenced:
http://docs.moodle.org/19/en/Backup_and_restore_FAQ
Backup stops at Zipping backup
Moodle 1.9 and lower use a PHP library to zip files that isn't very efficient and struggles to zip/unzip large files. You can use an external Zip binary to use a different process to handle your files - you can set this in Admin > Server > System Paths Moodle 2.0 uses new PHP zip functions so that specifying an external Zip binary isn't necessary see System_paths#Path_to_zip for help configuring an external zip binary.
Doesn't mention an issue with backups when the size of the backup is too large for the zip file to be copied to the moodledata/courseID#folder/ or, if doing backups to other location.
In investigation of this on a CentOS server, it has to do with a limitation in the operating system - only way to fix is to re-compile the kernel with needed supports. Uhhh, too much for me, but …
If one checks the /moodledata/temp/backup/ directory one might see the backup-blah-blah-blah.zip file actually does exist … and it is a complete (good) backup. All one needs to do is manually move the file (notice there is a difference between 'move' and 'copy') to a location for archiving OR for downloading (could be to a courseID folder in /moodledata or one could temporarily move it to document root, download, then delete from document root.
The FAQ does mention (and it's a good idea to do this on failed backups) that it is safe to remove the contents of moodledata/temp/backup/ folder. The last step in the routine is to do exactly that.
'spirit of sharing', Ken