409897780992 has 504 divisors, whose sum is σ = 1484527324896. Its totient is φ = 110218641408.

The previous prime is 409897780979. The next prime is 409897781011. The reversal of 409897780992 is 299087798904.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 409897780992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22199028 + ... + 22217484.

It is an arithmetic number, because the mean of its divisors is an integer number (2945490724).

Almost surely, 2^409897780992 is an apocalyptic number.

409897780992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409897780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742263662448).

409897780992 is an abundant number, since it is smaller than the sum of its proper divisors (1074629543904).

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

409897780992 is an equidigital number, since it uses as much as digits as its factorization.

409897780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 409897780992 in words is "four hundred nine billion, eight hundred ninety-seven million, seven hundred eighty thousand, nine hundred ninety-two".