413638671264 has 960 divisors, whose sum is σ = 1450825141248. Its totient is φ = 102419251200.

The previous prime is 413638671227. The next prime is 413638671307. The reversal of 413638671264 is 462176836314.

It is a nude number because it is divisible by every one of its digits.

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 159 ways as a sum of consecutive naturals, for example, 5666283132 + ... + 5666283204.

Almost surely, 2^413638671264 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 413638671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725412570624).

413638671264 is an abundant number, since it is smaller than the sum of its proper divisors (1037186469984).

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

413638671264 is a wasteful number, since it uses less digits than its factorization.

413638671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 413638671264 in words is "four hundred thirteen billion, six hundred thirty-eight million, six hundred seventy-one thousand, two hundred sixty-four".