409478164780140 has 240 divisors, whose sum is σ = 1364145790879872. Its totient is φ = 102466029625344.

The previous prime is 409478164780081. The next prime is 409478164780177. The reversal of 409478164780140 is 41087461874904.

It is a happy number.

409478164780140 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 7 + 8 + 16 + 478 + 0 + 140 = 666.

It is a super-2 number, since 2×409478164780140² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12779092 + ... + 31341051.

Almost surely, 2^{409478164780140} is an apocalyptic number.

It is an amenable number.

409478164780140 is an abundant number, since it is smaller than the sum of its proper divisors (954667626099732).

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

409478164780140 is a wasteful number, since it uses less digits than its factorization.

409478164780140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44120518 (or 44120507 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 409478164780140 in words is "four hundred nine trillion, four hundred seventy-eight billion, one hundred sixty-four million, seven hundred eighty thousand, one hundred forty".