Hi bhump,
I believe it is nine months, let me check that for you, here we go I was right:
Quote:
Account Inactivity
Google will terminate your account in accordance with Section 9 of the Terms of Use if you fail to login to your account for a period of nine months.
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http://mail.google.com/mail/help/terms_of_use.html
http://www.google.com/gmail/help/program_policies.html