409813459164 has 36 divisors (see below), whose sum is σ = 1039452935976. Its totient is φ = 136138255968.

The previous prime is 409813459157. The next prime is 409813459199. The reversal of 409813459164 is 461954318904.

409813459164 is a `hidden beast` number, since 40 + 9 + 8 + 1 + 3 + 4 + 591 + 6 + 4 = 666.

409813459164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 409813459164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19415574 + ... + 19436669.

It is an arithmetic number, because the mean of its divisors is an integer number (28873692666).

Almost surely, 2^409813459164 is an apocalyptic number.

It is an amenable number.

409813459164 is an abundant number, since it is smaller than the sum of its proper divisors (629639476812).

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

409813459164 is a wasteful number, since it uses less digits than its factorization.

409813459164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38852546 (or 38852541 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 409813459164 in words is "four hundred nine billion, eight hundred thirteen million, four hundred fifty-nine thousand, one hundred sixty-four".