413442138830292 has 288 divisors, whose sum is σ = 1241698332551040. Its totient is φ = 114339064688640.

The previous prime is 413442138830093. The next prime is 413442138830339. The reversal of 413442138830292 is 292038831244314.

413442138830292 is a `hidden beast` number, since 4 + 1 + 3 + 44 + 213 + 88 + 302 + 9 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6704400043 + ... + 6704461709.

It is an arithmetic number, because the mean of its divisors is an integer number (4311452543580).

Almost surely, 2^{413442138830292} 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 413442138830292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620849166275520).

413442138830292 is an abundant number, since it is smaller than the sum of its proper divisors (828256193720748).

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

413442138830292 is a wasteful number, since it uses less digits than its factorization.

413442138830292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76423 (or 76418 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 413442138830292 in words is "four hundred thirteen trillion, four hundred forty-two billion, one hundred thirty-eight million, eight hundred thirty thousand, two hundred ninety-two".