460007040144 has 80 divisors (see below), whose sum is σ = 1191932854272. Its totient is φ = 152873906304.

The previous prime is 460007040127. The next prime is 460007040161. The reversal of 460007040144 is 441040700064.

It is an interprime number because it is at equal distance from previous prime (460007040127) and next prime (460007040161).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83589297 + ... + 83594799.

Almost surely, 2^460007040144 is an apocalyptic number.

It is an amenable number.

460007040144 is an abundant number, since it is smaller than the sum of its proper divisors (731925814128).

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

460007040144 is a wasteful number, since it uses less digits than its factorization.

460007040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 460007040144 in words is "four hundred sixty billion, seven million, forty thousand, one hundred forty-four".