413643168000 has 864 divisors, whose sum is σ = 1554362514432. Its totient is φ = 105504768000.

The previous prime is 413643167957. The next prime is 413643168047. The reversal of 413643168000 is 861346314.

It is a happy number.

413643168000 is a `hidden beast` number, since 4 + 1 + 3 + 643 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×413643168000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 955295784 + ... + 955296216.

It is an arithmetic number, because the mean of its divisors is an integer number (1799030688).

Almost surely, 2^413643168000 is an apocalyptic number.

413643168000 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 413643168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777181257216).

413643168000 is an abundant number, since it is smaller than the sum of its proper divisors (1140719346432).

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

413643168000 is a wasteful number, since it uses less digits than its factorization.

413643168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 413643168000 in words is "four hundred thirteen billion, six hundred forty-three million, one hundred sixty-eight thousand".