413403444212032 has 112 divisors (see below), whose sum is σ = 827898876592128. Its totient is φ = 204803431257600.

The previous prime is 413403444212023. The next prime is 413403444212063. The reversal of 413403444212032 is 230212444304314.

It is a junction number, because it is equal to n+sod(n) for n = 413403444211982 and 413403444212000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43283781657 + ... + 43283791207.

Almost surely, 2^{413403444212032} 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 413403444212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413949438296064).

413403444212032 is an abundant number, since it is smaller than the sum of its proper divisors (414495432380096).

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

413403444212032 is a wasteful number, since it uses less digits than its factorization.

413403444212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 413403444212032 its reverse (230212444304314), we get a palindrome (643615888516346).

The spelling of 413403444212032 in words is "four hundred thirteen trillion, four hundred three billion, four hundred forty-four million, two hundred twelve thousand, thirty-two".