401120500055256 has 192 divisors, whose sum is σ = 1143144763881120. Its totient is φ = 126897641072640.

The previous prime is 401120500055173. The next prime is 401120500055269. The reversal of 401120500055256 is 652550005021104.

401120500055256 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 2 + 0 + 50 + 0 + 0 + 552 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401120500055256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621489691 + ... + 622134773.

Almost surely, 2^{401120500055256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401120500055256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571572381940560).

401120500055256 is an abundant number, since it is smaller than the sum of its proper divisors (742024263825864).

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

401120500055256 is a wasteful number, since it uses less digits than its factorization.

401120500055256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650866 (or 650859 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 401120500055256 in words is "four hundred one trillion, one hundred twenty billion, five hundred million, fifty-five thousand, two hundred fifty-six".