417742096864 has 24 divisors (see below), whose sum is σ = 822801528360. Its totient is φ = 208776629376.

The previous prime is 417742096847. The next prime is 417742096873. The reversal of 417742096864 is 468690247714.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 417742096799 and 417742096808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2878674 + ... + 3020305.

It is an arithmetic number, because the mean of its divisors is an integer number (34283397015).

Almost surely, 2^417742096864 is an apocalyptic number.

It is an amenable number.

417742096864 is a deficient number, since it is larger than the sum of its proper divisors (405059431496).

417742096864 is a wasteful number, since it uses less digits than its factorization.

417742096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901202 (or 5901194 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 417742096864 in words is "four hundred seventeen billion, seven hundred forty-two million, ninety-six thousand, eight hundred sixty-four".