401264600616 has 96 divisors (see below), whose sum is σ = 1185915107520. Its totient is φ = 121558348800.

The previous prime is 401264600567. The next prime is 401264600617. The reversal of 401264600616 is 616006462104.

401264600616 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 646 + 0 + 0 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×401264600616² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401264600617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2586541 + ... + 2737283.

It is an arithmetic number, because the mean of its divisors is an integer number (12353282370).

Almost surely, 2^401264600616 is an apocalyptic number.

It is an amenable number.

401264600616 is an abundant number, since it is smaller than the sum of its proper divisors (784650506904).

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

401264600616 is a wasteful number, since it uses less digits than its factorization.

401264600616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154127 (or 154120 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 401264600616 in words is "four hundred one billion, two hundred sixty-four million, six hundred thousand, six hundred sixteen".