Dating back to his fourth at-bat on May 23, 2007, Chone Figgins (LAA AL) is hitting exactly .400 (that's 88-for-220).  That seems like a pretty long stretch of hitting .400 (over 2 months); I went back to 1974, to find the longest such streak by any Angel, and it turns out that Figgins's streak of hitting .400 really is pretty long.  It's the 2nd-longest for the franchise in the last 35 years:

LONGEST STRETCH OF HITTING .400 BY AN ANAHEIM/CALIFORNIA/LOS ANGELES ANGEL, since 1974

148-for-370: Rod Carew, 8/13/1982 (3rd AB ) thru 6/7/1983 (2nd AB )
88-for-220: Chone Figgins, 5/23/2007 (4th AB ) thru 7/28/2007 (last AB )
80-for-200: Darin Erstad, 6/3/2000 (3rd AB ) thru 7/25/2000 (4th AB )

But if Chone wants to match the longest stretch of hitting .400, he'll have to keep up that .400 mark from now through May 30, 2013 (almost six more YEARS).  Ty Cobb maintained a .400 average for 2200 days, from 7/27/1909 thru 8/4/1915.

And here are those longest stretches of maintaining a .400 season, in MLB history:

1212-for-3030: Rogers Hornsby, 1920-1926
1202-for-3005: Ty Cobb, 1909-1915
794-for-1985: Jesse Burkett, 1894-1898
778-for-1945: Ed Delahanty, 1894-1897

While Figgins is the hottest hitter in the majors now and has maintained a .400 mark for over 200 at-bats, just imagine a batter who could maintains his .400 average for over THREE THOUSAND at-bats!

A Century of Cobb
Ty Cobb's Batting Line from 100 years ago:
July 29, 1907: Cobb did not play
Lou Gehrig Daily Sheets