40517460460314 has 48 divisors (see below), whose sum is σ = 87831458582400. Its totient is φ = 13499108995680.

The previous prime is 40517460460261. The next prime is 40517460460331. The reversal of 40517460460314 is 41306406471504.

40517460460314 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 7 + 4 + 604 + 6 + 0 + 31 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40517460460314.

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, 1214936112 + ... + 1214969460.

It is an arithmetic number, because the mean of its divisors is an integer number (1829822053800).

Almost surely, 2^{40517460460314} is an apocalyptic number.

40517460460314 is an abundant number, since it is smaller than the sum of its proper divisors (47313998122086).

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

40517460460314 is a wasteful number, since it uses less digits than its factorization.

40517460460314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64875 (or 64872 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40517460460314 in words is "forty trillion, five hundred seventeen billion, four hundred sixty million, four hundred sixty thousand, three hundred fourteen".