417642107904 has 132 divisors (see below), whose sum is σ = 1378208810784. Its totient is φ = 119326298112.

The previous prime is 417642107851. The next prime is 417642107929. The reversal of 417642107904 is 409701246714.

417642107904 is a `hidden beast` number, since 417 + 6 + 42 + 107 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 417642107904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3172422 + ... + 3301445.

Almost surely, 2^417642107904 is an apocalyptic number.

It is an amenable number.

417642107904 is an abundant number, since it is smaller than the sum of its proper divisors (960566702880).

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

417642107904 is a wasteful number, since it uses less digits than its factorization.

417642107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473900 (or 6473879 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 417642107904 in words is "four hundred seventeen billion, six hundred forty-two million, one hundred seven thousand, nine hundred four".