413086734268416 has 1920 divisors, whose sum is σ = 1431339498388800. Its totient is φ = 118055774453760.

The previous prime is 413086734268409. The next prime is 413086734268457. The reversal of 413086734268416 is 614862437680314.

413086734268416 is a `hidden beast` number, since 4 + 1 + 30 + 86 + 73 + 42 + 6 + 8 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 792872810236 + ... + 792872810756.

Almost surely, 2^{413086734268416} 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 413086734268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715669749194400).

413086734268416 is an abundant number, since it is smaller than the sum of its proper divisors (1018252764120384).

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

413086734268416 is an frugal number, since it uses more digits than its factorization.

413086734268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 413086734268416 in words is "four hundred thirteen trillion, eighty-six billion, seven hundred thirty-four million, two hundred sixty-eight thousand, four hundred sixteen".