461130152400660 has 192 divisors, whose sum is σ = 1316739079918080. Its totient is φ = 120536691425280.

The previous prime is 461130152400649. The next prime is 461130152400721. The reversal of 461130152400660 is 66004251031164.

It is a super-2 number, since 2×461130152400660² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16927784640 + ... + 16927811880.

It is an arithmetic number, because the mean of its divisors is an integer number (6858016041240).

Almost surely, 2^{461130152400660} 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 461130152400660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658369539959040).

461130152400660 is an abundant number, since it is smaller than the sum of its proper divisors (855608927517420).

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

461130152400660 is a wasteful number, since it uses less digits than its factorization.

461130152400660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32018 (or 32016 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 461130152400660 in words is "four hundred sixty-one trillion, one hundred thirty billion, one hundred fifty-two million, four hundred thousand, six hundred sixty".