Access "invalid argument" in ACCESS mdbs

[dikki]

I get the error "invalid argument" when loading text files into a single table in Access. The error message itself (and immediate guidance notes) makes no-sense at all. I'm loading six large files into one table and the error comes after the 4th or 5th file (not any particular file). The scale of this operation (if completed successfully) would achieve a table with some 27M records.
Can someone please tell me what the problem is, and how to deal with it?