413078714944 has 189 divisors, whose sum is σ = 998794169667. Its totient is φ = 168997264128.

The previous prime is 413078714933. The next prime is 413078714987. The reversal of 413078714944 is 449417870314.

The square root of 413078714944 is 642712.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 413078714891 and 413078714900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 827812807 + ... + 827813305.

Almost surely, 2^413078714944 is an apocalyptic number.

413078714944 is the 642712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413078714944

413078714944 is an abundant number, since it is smaller than the sum of its proper divisors (585715454723).

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

413078714944 is an frugal number, since it uses more digits than its factorization.

413078714944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 413078714944 in words is "four hundred thirteen billion, seventy-eight million, seven hundred fourteen thousand, nine hundred forty-four".