409007160097380 has 384 divisors, whose sum is σ = 1427773783080960. Its totient is φ = 96520410570240.

The previous prime is 409007160097373. The next prime is 409007160097397. The reversal of 409007160097380 is 83790061700904.

It is a happy number.

409007160097380 is a `hidden beast` number, since 409 + 0 + 0 + 7 + 160 + 0 + 9 + 73 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14502837 + ... + 32067843.

It is an arithmetic number, because the mean of its divisors is an integer number (3718160893440).

Almost surely, 2^{409007160097380} 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 409007160097380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713886891540480).

409007160097380 is an abundant number, since it is smaller than the sum of its proper divisors (1018766622983580).

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

409007160097380 is a wasteful number, since it uses less digits than its factorization.

409007160097380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565176 (or 17565168 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 409007160097380 in words is "four hundred nine trillion, seven billion, one hundred sixty million, ninety-seven thousand, three hundred eighty".