405351332316 has 120 divisors (see below), whose sum is σ = 1221767685600. Its totient is φ = 114789685248.

The previous prime is 405351332311. The next prime is 405351332359. The reversal of 405351332316 is 613233153504.

405351332316 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 5 + 1 + 332 + 316 = 666.

It is a super-2 number, since 2×405351332316² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405351332311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534541 + ... + 1047108.

It is an arithmetic number, because the mean of its divisors is an integer number (10181397380).

Almost surely, 2^405351332316 is an apocalyptic number.

It is an amenable number.

405351332316 is an abundant number, since it is smaller than the sum of its proper divisors (816416353284).

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

405351332316 is a wasteful number, since it uses less digits than its factorization.

405351332316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581785 (or 1581774 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 405351332316 in words is "four hundred five billion, three hundred fifty-one million, three hundred thirty-two thousand, three hundred sixteen".