I haven't seen any limit mentioned in the program. Maybe check with your bank, but I suspect it's okay.
Another option is to pay directly on the IRS website. The IRS Direct Pay won't accept more than two payments within a 24-hour period, and each payment must be less than $10 million.
@mridulx
You can e-file through TT. I thought your question was whether you could pay the large amount as part of your e-filing. I think yes, but if somehow not, just sign up for eftps.gov . I don't think the government will turn down your money!