409981936560 has 640 divisors, whose sum is σ = 1552124657664. Its totient is φ = 87535779840.

The previous prime is 409981936543. The next prime is 409981936601. The reversal of 409981936560 is 65639189904.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 409981936494 and 409981936503.

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 127 ways as a sum of consecutive naturals, for example, 263992744 + ... + 263994296.

Almost surely, 2^409981936560 is an apocalyptic number.

409981936560 is a gapful number since it is divisible by the number (40) 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 409981936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776062328832).

409981936560 is an abundant number, since it is smaller than the sum of its proper divisors (1142142721104).

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

409981936560 is a wasteful number, since it uses less digits than its factorization.

409981936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 409981936560 in words is "four hundred nine billion, nine hundred eighty-one million, nine hundred thirty-six thousand, five hundred sixty".