405563397128352 has 144 divisors (see below), whose sum is σ = 1171935527817600. Its totient is φ = 133022585719296.

The previous prime is 405563397128317. The next prime is 405563397128371. The reversal of 405563397128352 is 253821793365504.

405563397128352 is a `hidden beast` number, since 4 + 0 + 5 + 563 + 3 + 9 + 7 + 12 + 8 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 405563397128352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38883852 + ... + 48198347.

It is an arithmetic number, because the mean of its divisors is an integer number (8138441165400).

It is a 1-persistent number, because it is pandigital, but 2⋅405563397128352 = 811126794256704 is not.

Almost surely, 2^{405563397128352} is an apocalyptic number.

It is an amenable number.

405563397128352 is an abundant number, since it is smaller than the sum of its proper divisors (766372130689248).

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

405563397128352 is a wasteful number, since it uses less digits than its factorization.

405563397128352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87082475 (or 87082464 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 405563397128352 in words is "four hundred five trillion, five hundred sixty-three billion, three hundred ninety-seven million, one hundred twenty-eight thousand, three hundred fifty-two".