413021009997 has 48 divisors (see below), whose sum is σ = 637284211200. Its totient is φ = 257188659840.

The previous prime is 413021009977. The next prime is 413021010007. The reversal of 413021009997 is 799900120314.

It is not a de Polignac number, because 413021009997 - 2¹⁴ = 413020993613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413021009917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30002638 + ... + 30016400.

It is an arithmetic number, because the mean of its divisors is an integer number (13276754400).

Almost surely, 2^413021009997 is an apocalyptic number.

It is an amenable number.

413021009997 is a deficient number, since it is larger than the sum of its proper divisors (224263201203).

413021009997 is a wasteful number, since it uses less digits than its factorization.

413021009997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17535 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 413021009997 in words is "four hundred thirteen billion, twenty-one million, nine thousand, nine hundred ninety-seven".