461130369638400 has 5040 divisors, whose sum is σ = 2206371737420928. Its totient is φ = 93124480204800.

The previous prime is 461130369638381. The next prime is 461130369638413. The reversal of 461130369638400 is 4836963031164.

461130369638400 is a `hidden beast` number, since 4 + 6 + 113 + 0 + 3 + 6 + 96 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 519876402757 + ... + 519876403643.

Almost surely, 2^{461130369638400} is an apocalyptic number.

461130369638400 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 461130369638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103185868710464).

461130369638400 is an abundant number, since it is smaller than the sum of its proper divisors (1745241367782528).

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

461130369638400 is a wasteful number, since it uses less digits than its factorization.

461130369638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 461130369638400 in words is "four hundred sixty-one trillion, one hundred thirty billion, three hundred sixty-nine million, six hundred thirty-eight thousand, four hundred".