1413710460864 has 504 divisors, whose sum is σ = 4454668288512. Its totient is φ = 428419031040.

The previous prime is 1413710460863. The next prime is 1413710460881. The reversal of 1413710460864 is 4680640173141.

1413710460864 is a `hidden beast` number, since 1 + 4 + 1 + 37 + 1 + 0 + 4 + 608 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413710460863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138744694 + ... + 2138745354.

Almost surely, 2^{1413710460864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413710460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227334144256).

1413710460864 is an abundant number, since it is smaller than the sum of its proper divisors (3040957827648).

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

1413710460864 is a wasteful number, since it uses less digits than its factorization.

1413710460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1413710460864 in words is "one trillion, four hundred thirteen billion, seven hundred ten million, four hundred sixty thousand, eight hundred sixty-four".