461516117640 has 128 divisors (see below), whose sum is σ = 1481106332160. Its totient is φ = 114637307904.

The previous prime is 461516117617. The next prime is 461516117683. The reversal of 461516117640 is 46711615164.

It is a junction number, because it is equal to n+sod(n) for n = 461516117592 and 461516117601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968272 + ... + 1364031.

It is an arithmetic number, because the mean of its divisors is an integer number (11571143220).

Almost surely, 2^461516117640 is an apocalyptic number.

461516117640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461516117640 is an abundant number, since it is smaller than the sum of its proper divisors (1019590214520).

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

461516117640 is a wasteful number, since it uses less digits than its factorization.

461516117640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332431 (or 2332427 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 461516117640 in words is "four hundred sixty-one billion, five hundred sixteen million, one hundred seventeen thousand, six hundred forty".