413226613395456 has 312 divisors, whose sum is σ = 1281787237088640. Its totient is φ = 118055729627136.

The previous prime is 413226613395439. The next prime is 413226613395487. The reversal of 413226613395456 is 654593316622314.

It is a self number, because there is not a number n which added to its sum of digits gives 413226613395456.

It is a congruent number.

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, 15327951705 + ... + 15327978663.

Almost surely, 2^{413226613395456} 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 413226613395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640893618544320).

413226613395456 is an abundant number, since it is smaller than the sum of its proper divisors (868560623693184).

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

413226613395456 is a wasteful number, since it uses less digits than its factorization.

413226613395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52457 (or 52428 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 60.

The spelling of 413226613395456 in words is "four hundred thirteen trillion, two hundred twenty-six billion, six hundred thirteen million, three hundred ninety-five thousand, four hundred fifty-six".