409380664320 has 132 divisors (see below), whose sum is σ = 1418493500580. Its totient is φ = 109168164864.

The previous prime is 409380664283. The next prime is 409380664327. The reversal of 409380664320 is 23466083904.

It can be written as a sum of positive squares in 2 ways, for example, as 105100452864 + 304280211456 = 324192^2 + 551616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409380664327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4395985 + ... + 4488144.

Almost surely, 2^409380664320 is an apocalyptic number.

409380664320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409380664320 is an abundant number, since it is smaller than the sum of its proper divisors (1009112836260).

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

409380664320 is a wasteful number, since it uses less digits than its factorization.

409380664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884160 (or 8884139 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 409380664320 in words is "four hundred nine billion, three hundred eighty million, six hundred sixty-four thousand, three hundred twenty".