413437240832 has 480 divisors, whose sum is σ = 1106379115776. Its totient is φ = 149903769600.

The previous prime is 413437240817. The next prime is 413437240861. The reversal of 413437240832 is 238042734314.

It is a self number, because there is not a number n which added to its sum of digits gives 413437240832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492553078 + ... + 1492553354.

Almost surely, 2^413437240832 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 413437240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553189557888).

413437240832 is an abundant number, since it is smaller than the sum of its proper divisors (692941874944).

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

413437240832 is a wasteful number, since it uses less digits than its factorization.

413437240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 413437240832 in words is "four hundred thirteen billion, four hundred thirty-seven million, two hundred forty thousand, eight hundred thirty-two".