Sources tell the Hollywood Reporter that Madonna‘s new deal with Interscope will pay her $40 million for three albums, and the first of those will arrive in March 2012.

The album, still untitled, will be preceded by the single ‘Gimme All Your Luvin” in the last week of January, just before Madge’s Super Bowl XLVI halftime performance on Feb. 5. The song, which is expected to feature Nicki Minaj and M.I.A., was leaked online in demo form last month and received a cool reception from many critics, though fans seemed to enjoy it.

The Interscope contract is now tied in with Madonna’s $100 million deal with Live Nation, signed in 2007, which covers the singer’s albums, concerts, merchandise, fan club and sponsorships. Interscope Geffen A&M Chairman Jimmy Iovine said this week after signing Madonna, “Very rarely does an opportunity like this come around. We would like to thank Madonna, Guy [Oseary] and Live Nation for their belief in us.”

Madonna had been signed to Warner Bros. Records for nearly 30 years. At Interscope, she joins Lady Gaga, U2, and a host of other big names. The new album will be Madonna’s first original studio effort since 2008′s ‘Hard Candy.’