401251334411424 has 192 divisors, whose sum is σ = 1204486926693120. Its totient is φ = 114573451100160.

The previous prime is 401251334411407. The next prime is 401251334411491. The reversal of 401251334411424 is 424114433152104.

It is a super-2 number, since 2×401251334411424² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15680605222 + ... + 15680630810.

It is an arithmetic number, because the mean of its divisors is an integer number (6273369409860).

Almost surely, 2^{401251334411424} is an apocalyptic number.

It is an amenable number.

401251334411424 is an abundant number, since it is smaller than the sum of its proper divisors (803235592281696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401251334411424 is a wasteful number, since it uses less digits than its factorization.

401251334411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38903 (or 38895 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 401251334411424 its reverse (424114433152104), we get a palindrome (825365767563528).

The spelling of 401251334411424 in words is "four hundred one trillion, two hundred fifty-one billion, three hundred thirty-four million, four hundred eleven thousand, four hundred twenty-four".