Well, its not a dumb question, but it is so remote that I cannot imagine a synoptic situation that would have to occur for that to happen, so I really can't make a guess as to how it would play out.

Also, Hurricane Ginger in the N Atlantic is the longest in that basin...28 days in 1971...the longest worldwide was Hurricane/Typhoon John in 1994, which lasted 31 days...It formed in the Northeast Pacific, reached hurricane force there, moved across the dateline and was renamed Typhoon John, and then finally recurved back across the dateline and renamed Hurricane John again.