413997822592 has 64 divisors (see below), whose sum is σ = 834367905000. Its totient is φ = 204589744128.

The previous prime is 413997822529. The next prime is 413997822607. The reversal of 413997822592 is 295228799314.

It can be written as a sum of positive squares in 4 ways, for example, as 354863255616 + 59134566976 = 595704^2 + 243176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×413997822592² (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 413997822592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35411884 + ... + 35423572.

Almost surely, 2^413997822592 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 413997822592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417183952500).

413997822592 is an abundant number, since it is smaller than the sum of its proper divisors (420370082408).

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

413997822592 is a wasteful number, since it uses less digits than its factorization.

413997822592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901 (or 14889 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 61.

The spelling of 413997822592 in words is "four hundred thirteen billion, nine hundred ninety-seven million, eight hundred twenty-two thousand, five hundred ninety-two".