409602196080 has 960 divisors, whose sum is σ = 1813941043200. Its totient is φ = 80245831680.

The previous prime is 409602196063. The next prime is 409602196109. The reversal of 409602196080 is 80691206904.

It is a happy number.

409602196080 is a `hidden beast` number, since 409 + 60 + 21 + 96 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251752227 + ... + 251753853.

It is an arithmetic number, because the mean of its divisors is an integer number (1889521920).

Almost surely, 2^409602196080 is an apocalyptic number.

409602196080 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 409602196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906970521600).

409602196080 is an abundant number, since it is smaller than the sum of its proper divisors (1404338847120).

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

409602196080 is a wasteful number, since it uses less digits than its factorization.

409602196080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 409602196080 in words is "four hundred nine billion, six hundred two million, one hundred ninety-six thousand, eighty".