413300568320 has 72 divisors (see below), whose sum is σ = 990940030080. Its totient is φ = 165160581120.

The previous prime is 413300568301. The next prime is 413300568349. The reversal of 413300568320 is 23865003314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174535 + ... + 1485305.

Almost surely, 2^413300568320 is an apocalyptic number.

413300568320 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 413300568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495470015040).

413300568320 is an abundant number, since it is smaller than the sum of its proper divisors (577639461760).

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

413300568320 is a wasteful number, since it uses less digits than its factorization.

413300568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311831 (or 311817 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 413300568320 in words is "four hundred thirteen billion, three hundred million, five hundred sixty-eight thousand, three hundred twenty".