413254590336 has 256 divisors, whose sum is σ = 1397168908800. Its totient is φ = 117797068800.

The previous prime is 413254590319. The next prime is 413254590341. The reversal of 413254590336 is 633095452314.

413254590336 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 54 + 590 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413254590291 and 413254590300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10455411 + ... + 10494861.

It is an arithmetic number, because the mean of its divisors is an integer number (5457691050).

Almost surely, 2^413254590336 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 413254590336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698584454400).

413254590336 is an abundant number, since it is smaller than the sum of its proper divisors (983914318464).

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

413254590336 is a wasteful number, since it uses less digits than its factorization.

413254590336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39914 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 413254590336 in words is "four hundred thirteen billion, two hundred fifty-four million, five hundred ninety thousand, three hundred thirty-six".