401255131000000 has 392 divisors, whose sum is σ = 1054663318261728. Its totient is φ = 150941952000000.

The previous prime is 401255130999937. The next prime is 401255131000019. The reversal of 401255131000000 is 131552104.

It is a happy number.

It is a super-2 number, since 2×401255131000000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23340991405 + ... + 23341008595.

Almost surely, 2^{401255131000000} is an apocalyptic number.

401255131000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401255131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527331659130864).

401255131000000 is an abundant number, since it is smaller than the sum of its proper divisors (653408187261728).

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

401255131000000 is an equidigital number, since it uses as much as digits as its factorization.

401255131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18623 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 401255131000000 its reverse (131552104), we get a palindrome (401255262552104).

The spelling of 401255131000000 in words is "four hundred one trillion, two hundred fifty-five billion, one hundred thirty-one million", and thus it is an aban number.