413652096000 has 2464 divisors, whose sum is σ = 1876384613376. Its totient is φ = 89579520000.

The previous prime is 413652095959. The next prime is 413652096017. The reversal of 413652096000 is 690256314.

It is a happy number.

413652096000 is a `hidden beast` number, since 41 + 3 + 6 + 5 + 2 + 0 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×413652096000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13343615985 + ... + 13343616015.

Almost surely, 2^413652096000 is an apocalyptic number.

413652096000 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 413652096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938192306688).

413652096000 is an abundant number, since it is smaller than the sum of its proper divisors (1462732517376).

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

413652096000 is a wasteful number, since it uses less digits than its factorization.

413652096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 413652096000 in words is "four hundred thirteen billion, six hundred fifty-two million, ninety-six thousand".