460131013760 has 128 divisors (see below), whose sum is σ = 1202414760000. Its totient is φ = 166983782400.

The previous prime is 460131013759. The next prime is 460131013777. The reversal of 460131013760 is 67310131064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3447470 + ... + 3578450.

Almost surely, 2^460131013760 is an apocalyptic number.

460131013760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460131013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601207380000).

460131013760 is an abundant number, since it is smaller than the sum of its proper divisors (742283746240).

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

460131013760 is a wasteful number, since it uses less digits than its factorization.

460131013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131510 (or 131498 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 460131013760 in words is "four hundred sixty billion, one hundred thirty-one million, thirteen thousand, seven hundred sixty".