409166905572 has 48 divisors (see below), whose sum is σ = 1060956187200. Its totient is φ = 136369284480.

The previous prime is 409166905561. The next prime is 409166905597. The reversal of 409166905572 is 275509661904.

409166905572 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 6 + 69 + 0 + 5 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 488172 + ... + 1027932.

It is an arithmetic number, because the mean of its divisors is an integer number (22103253900).

Almost surely, 2^409166905572 is an apocalyptic number.

It is an amenable number.

409166905572 is an abundant number, since it is smaller than the sum of its proper divisors (651789281628).

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

409166905572 is a wasteful number, since it uses less digits than its factorization.

409166905572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546793 (or 546785 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 409166905572 in words is "four hundred nine billion, one hundred sixty-six million, nine hundred five thousand, five hundred seventy-two".