456010061540 has 48 divisors (see below), whose sum is σ = 1057901402880. Its totient is φ = 163722823680.

The previous prime is 456010061459. The next prime is 456010061561. The reversal of 456010061540 is 45160010654.

It is a junction number, because it is equal to n+sod(n) for n = 456010061497 and 456010061506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13101437 + ... + 13136196.

It is an arithmetic number, because the mean of its divisors is an integer number (22039612560).

Almost surely, 2^456010061540 is an apocalyptic number.

It is an amenable number.

456010061540 is an abundant number, since it is smaller than the sum of its proper divisors (601891341340).

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

456010061540 is a wasteful number, since it uses less digits than its factorization.

456010061540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26237732 (or 26237730 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 456010061540 in words is "four hundred fifty-six billion, ten million, sixty-one thousand, five hundred forty".