460306144105640 has 64 divisors (see below), whose sum is σ = 1190486245656960. Its totient is φ = 156906999394560.

The previous prime is 460306144105631. The next prime is 460306144105657. The reversal of 460306144105640 is 46501441603064.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 460306144105591 and 460306144105600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4751253626 + ... + 4751350505.

It is an arithmetic number, because the mean of its divisors is an integer number (18601347588390).

Almost surely, 2^{460306144105640} is an apocalyptic number.

460306144105640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460306144105640 is an abundant number, since it is smaller than the sum of its proper divisors (730180101551320).

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

460306144105640 is a wasteful number, since it uses less digits than its factorization.

460306144105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502604322 (or 9502604318 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 460306144105640 in words is "four hundred sixty trillion, three hundred six billion, one hundred forty-four million, one hundred five thousand, six hundred forty".