401313810495600 has 150 divisors (see below), whose sum is σ = 1440283061790320. Its totient is φ = 107017016123520.

The previous prime is 401313810495589. The next prime is 401313810495607. The reversal of 401313810495600 is 6594018313104.

401313810495600 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 3 + 81 + 0 + 4 + 9 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×401313810495600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401313810495607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6193081960 + ... + 6193146759.

Almost surely, 2^{401313810495600} is an apocalyptic number.

401313810495600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401313810495600 is an abundant number, since it is smaller than the sum of its proper divisors (1038969251294720).

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

401313810495600 is a wasteful number, since it uses less digits than its factorization.

401313810495600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12386228749 (or 12386228729 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 401313810495600 in words is "four hundred one trillion, three hundred thirteen billion, eight hundred ten million, four hundred ninety-five thousand, six hundred".