Apache can handle files less than 2 GiB - to be more specific, 2,147,483,648 bytes, or 2.14 gigabytes.
The error.log file should indicate if the problem occurs because of the filesize. And if it does you should contact support and see what they say about their build of Apache. Large file support depends on how Apache is compiled and operating system support, so you won't be able to fix the issue yourself.
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