Skechers shelled out some big bucks to run a steamy Super Bowl commercial with Kim Kardashian, but the cost of that campaign is chump change compared to what the shoe company must refund customers for false advertising.

Skechers will pay $40 million after the Federal Trade Commission ruled the footwear brand made unfounded claims that its shoes would help with losing weight while strengthening butt, leg and stomach muscles.

Kardashian and "Dancing With The Stars" co-host Brooke Burke were in ads touting the Shape-ups line, but the Resistance Runner, Toners/Trainers and Tone-ups models were also cited in the FTC's charge of deceptive claims.

The amount refunded to each customer will depend on the number of people that apply and which model was purchased, but the range is projected to be $27-$80 per pair. Shape-ups generally retail for about $100.

If you bought any of the Skechers models cited in the FTC report since August 1, 2008, you can apply for a refund at SkechersSettlement.com. Or call 866-325-4186 for more information.

The settlement is believed to be the FTC's largest ever involving consumer refunds, an agency executive told USA Today.

In a similar case last year, the FTC investigated Reebok, which agreed to $25 million in customer refunds.

Here is the Kardashian ad, which ran in February 2011 during the Packers-Steelers Super Bowl:

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