413132504000 has 448 divisors, whose sum is σ = 1159458468480. Its totient is φ = 144875520000.

The previous prime is 413132503997. The next prime is 413132504023. The reversal of 413132504000 is 405231314.

It is a super-2 number, since 2×413132504000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157622690 + ... + 157625310.

Almost surely, 2^413132504000 is an apocalyptic number.

413132504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413132504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579729234240).

413132504000 is an abundant number, since it is smaller than the sum of its proper divisors (746325964480).

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

413132504000 is a wasteful number, since it uses less digits than its factorization.

413132504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 413132504000 its reverse (405231314), we get a palindrome (413537735314).

The spelling of 413132504000 in words is "four hundred thirteen billion, one hundred thirty-two million, five hundred four thousand".