413386570800 has 180 divisors, whose sum is σ = 1639504363120. Its totient is φ = 94488353280.

The previous prime is 413386570799. The next prime is 413386570847. The reversal of 413386570800 is 8075683314.

413386570800 is a `hidden beast` number, since 41 + 3 + 38 + 6 + 570 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8176915 + ... + 8227314.

Almost surely, 2^413386570800 is an apocalyptic number.

413386570800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413386570800 is an abundant number, since it is smaller than the sum of its proper divisors (1226117792320).

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

413386570800 is a wasteful number, since it uses less digits than its factorization.

413386570800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16404260 (or 16404246 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 413386570800 in words is "four hundred thirteen billion, three hundred eighty-six million, five hundred seventy thousand, eight hundred".