461440395504 has 120 divisors (see below), whose sum is σ = 1457370673200. Its totient is φ = 135008670720.

The previous prime is 461440395497. The next prime is 461440395529. The reversal of 461440395504 is 405593044164.

461440395504 is a `hidden beast` number, since 4 + 6 + 14 + 40 + 3 + 95 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 461440395504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976709 + ... + 5068580.

It is an arithmetic number, because the mean of its divisors is an integer number (12144755610).

Almost surely, 2^461440395504 is an apocalyptic number.

461440395504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461440395504 is an abundant number, since it is smaller than the sum of its proper divisors (995930277696).

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

461440395504 is a wasteful number, since it uses less digits than its factorization.

461440395504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045343 (or 10045334 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 461440395504 in words is "four hundred sixty-one billion, four hundred forty million, three hundred ninety-five thousand, five hundred four".