409361902872 has 128 divisors (see below), whose sum is σ = 1106160921600. Its totient is φ = 125497548288.

The previous prime is 409361902771. The next prime is 409361902889. The reversal of 409361902872 is 278209163904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115019829 + ... + 115023387.

It is an arithmetic number, because the mean of its divisors is an integer number (8641882200).

Almost surely, 2^409361902872 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 409361902872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553080460800).

409361902872 is an abundant number, since it is smaller than the sum of its proper divisors (696799018728).

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

409361902872 is a wasteful number, since it uses less digits than its factorization.

409361902872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 409361902872 in words is "four hundred nine billion, three hundred sixty-one million, nine hundred two thousand, eight hundred seventy-two".