413313355124320 has 96 divisors (see below), whose sum is σ = 1116065836569600. Its totient is φ = 141692226172416.

The previous prime is 413313355124291. The next prime is 413313355124363. The reversal of 413313355124320 is 23421553313314.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9362580 + ... + 30237139.

It is an arithmetic number, because the mean of its divisors is an integer number (11625685797600).

Almost surely, 2^{413313355124320} is an apocalyptic number.

413313355124320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413313355124320 is an abundant number, since it is smaller than the sum of its proper divisors (702752481445280).

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

413313355124320 is a wasteful number, since it uses less digits than its factorization.

413313355124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39609060 (or 39609052 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 413313355124320 in words is "four hundred thirteen trillion, three hundred thirteen billion, three hundred fifty-five million, one hundred twenty-four thousand, three hundred twenty".