415181561832 has 192 divisors, whose sum is σ = 1161351859200. Its totient is φ = 133937556480.

The previous prime is 415181561827. The next prime is 415181561857. The reversal of 415181561832 is 238165181514.

415181561832 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 8 + 1 + 561 + 83 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108599073 + ... + 108602895.

It is an arithmetic number, because the mean of its divisors is an integer number (6048707600).

Almost surely, 2^415181561832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415181561832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580675929600).

415181561832 is an abundant number, since it is smaller than the sum of its proper divisors (746170297368).

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

415181561832 is a wasteful number, since it uses less digits than its factorization.

415181561832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4281 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 415181561832 in words is "four hundred fifteen billion, one hundred eighty-one million, five hundred sixty-one thousand, eight hundred thirty-two".