409612138704 has 150 divisors (see below), whose sum is σ = 1251218481810. Its totient is φ = 129351053952.

The previous prime is 409612138697. The next prime is 409612138711. The reversal of 409612138704 is 407831216904.

It is an interprime number because it is at equal distance from previous prime (409612138697) and next prime (409612138711).

It can be written as a sum of positive squares in only one way, i.e., 404648654400 + 4963484304 = 636120^2 + 70452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409612138704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30102 + ... + 905610.

Almost surely, 2^409612138704 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 409612138704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625609240905).

409612138704 is an abundant number, since it is smaller than the sum of its proper divisors (841606343106).

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

409612138704 is a wasteful number, since it uses less digits than its factorization.

409612138704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875567 (or 875533 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 409612138704 in words is "four hundred nine billion, six hundred twelve million, one hundred thirty-eight thousand, seven hundred four".