461190746120 has 192 divisors, whose sum is σ = 1152446460480. Its totient is φ = 165117533184.

The previous prime is 461190746117. The next prime is 461190746147. The reversal of 461190746120 is 21647091164.

It is a super-3 number, since 3×461190746120³ (a number of 36 digits) contains 333 as substring.

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, 247021427 + ... + 247023293.

It is an arithmetic number, because the mean of its divisors is an integer number (6002325315).

Almost surely, 2^461190746120 is an apocalyptic number.

461190746120 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 461190746120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576223230240).

461190746120 is an abundant number, since it is smaller than the sum of its proper divisors (691255714360).

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

461190746120 is a wasteful number, since it uses less digits than its factorization.

461190746120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 461190746120 in words is "four hundred sixty-one billion, one hundred ninety million, seven hundred forty-six thousand, one hundred twenty".