461340472320 has 2112 divisors, whose sum is σ = 2132705433600. Its totient is φ = 94197841920.

The previous prime is 461340472309. The next prime is 461340472381. The reversal of 461340472320 is 23274043164.

461340472320 is a `hidden beast` number, since 4 + 6 + 13 + 404 + 7 + 232 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14881950705 + ... + 14881950735.

Almost surely, 2^461340472320 is an apocalyptic number.

461340472320 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 461340472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066352716800).

461340472320 is an abundant number, since it is smaller than the sum of its proper divisors (1671364961280).

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

461340472320 is a wasteful number, since it uses less digits than its factorization.

461340472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 461340472320 in words is "four hundred sixty-one billion, three hundred forty million, four hundred seventy-two thousand, three hundred twenty".