417590445042 has 96 divisors (see below), whose sum is σ = 979399579392. Its totient is φ = 128088340992.

The previous prime is 417590445031. The next prime is 417590445121. The reversal of 417590445042 is 240544095714.

417590445042 is a `hidden beast` number, since 4 + 1 + 7 + 590 + 4 + 4 + 50 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14324293 + ... + 14353415.

It is an arithmetic number, because the mean of its divisors is an integer number (10202078952).

Almost surely, 2^417590445042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417590445042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489699789696).

417590445042 is an abundant number, since it is smaller than the sum of its proper divisors (561809134350).

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

417590445042 is a wasteful number, since it uses less digits than its factorization.

417590445042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30192 (or 30189 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 417590445042 in words is "four hundred seventeen billion, five hundred ninety million, four hundred forty-five thousand, forty-two".