417605468868 has 144 divisors (see below), whose sum is σ = 1259271127296. Its totient is φ = 114091718400.

The previous prime is 417605468851. The next prime is 417605468879. The reversal of 417605468868 is 868864506714.

417605468868 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 0 + 546 + 8 + 86 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 21626818 + ... + 21646118.

It is an arithmetic number, because the mean of its divisors is an integer number (8744938384).

Almost surely, 2^417605468868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417605468868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629635563648).

417605468868 is an abundant number, since it is smaller than the sum of its proper divisors (841665658428).

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

417605468868 is a wasteful number, since it uses less digits than its factorization.

417605468868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23074 (or 23069 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 417605468868 in words is "four hundred seventeen billion, six hundred five million, four hundred sixty-eight thousand, eight hundred sixty-eight".