1460416830138 has 48 divisors (see below), whose sum is σ = 3622228047360. Its totient is φ = 416574512928.

The previous prime is 1460416830121. The next prime is 1460416830149. The reversal of 1460416830138 is 8310386140641.

1460416830138 is a `hidden beast` number, since 1 + 4 + 604 + 1 + 6 + 8 + 3 + 0 + 1 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1460416830093 and 1460416830102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9470973 + ... + 9623936.

It is an arithmetic number, because the mean of its divisors is an integer number (75463084320).

Almost surely, 2^{1460416830138} is an apocalyptic number.

1460416830138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1460416830138 is an abundant number, since it is smaller than the sum of its proper divisors (2161811217222).

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

1460416830138 is a wasteful number, since it uses less digits than its factorization.

1460416830138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095531 (or 19095528 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1460416830138 in words is "one trillion, four hundred sixty billion, four hundred sixteen million, eight hundred thirty thousand, one hundred thirty-eight".