460440634042341 has 32 divisors (see below), whose sum is σ = 687509184614400. Its totient is φ = 304541738867520.

The previous prime is 460440634042283. The next prime is 460440634042373. The reversal of 460440634042341 is 143240436044064.

460440634042341 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 4 + 0 + 6 + 3 + 404 + 234 + 1 = 666.

It is not a de Polignac number, because 460440634042341 - 2²⁵ = 460440600487909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460440634040341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123070295 + ... + 1123480203.

It is an arithmetic number, because the mean of its divisors is an integer number (21484662019200).

Almost surely, 2^{460440634042341} is an apocalyptic number.

It is an amenable number.

460440634042341 is a deficient number, since it is larger than the sum of its proper divisors (227068550572059).

460440634042341 is a wasteful number, since it uses less digits than its factorization.

460440634042341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737626 (or 737620 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 460440634042341 in words is "four hundred sixty trillion, four hundred forty billion, six hundred thirty-four million, forty-two thousand, three hundred forty-one".