413367165792 has 216 divisors, whose sum is σ = 1369539171000. Its totient is φ = 117923033088.

The previous prime is 413367165779. The next prime is 413367165821. The reversal of 413367165792 is 297561763314.

413367165792 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 67 + 1 + 6 + 579 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9277584 + ... + 9322032.

It is an arithmetic number, because the mean of its divisors is an integer number (6340459125).

Almost surely, 2^413367165792 is an apocalyptic number.

413367165792 is a gapful number since it is divisible by the number (42) 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 413367165792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684769585500).

413367165792 is an abundant number, since it is smaller than the sum of its proper divisors (956172005208).

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

413367165792 is a wasteful number, since it uses less digits than its factorization.

413367165792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45138 (or 45120 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 413367165792 in words is "four hundred thirteen billion, three hundred sixty-seven million, one hundred sixty-five thousand, seven hundred ninety-two".