405297940032 has 560 divisors, whose sum is σ = 1364619104640. Its totient is φ = 118161358848.

The previous prime is 405297939989. The next prime is 405297940037. The reversal of 405297940032 is 230049792504.

405297940032 is a `hidden beast` number, since 4 + 0 + 529 + 7 + 94 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×405297940032² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405297940032.

It is not an unprimeable number, because it can be changed into a prime (405297940037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88742613 + ... + 88747179.

Almost surely, 2^405297940032 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 405297940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682309552320).

405297940032 is an abundant number, since it is smaller than the sum of its proper divisors (959321164608).

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

405297940032 is a wasteful number, since it uses less digits than its factorization.

405297940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 405297940032 in words is "four hundred five billion, two hundred ninety-seven million, nine hundred forty thousand, thirty-two".