410166041256 has 96 divisors (see below), whose sum is σ = 1134894758400. Its totient is φ = 133766689920.

The previous prime is 410166041191. The next prime is 410166041261. The reversal of 410166041256 is 652140661014.

410166041256 is a `hidden beast` number, since 4 + 10 + 16 + 604 + 1 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 410166041256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10535266 + ... + 10574126.

It is an arithmetic number, because the mean of its divisors is an integer number (11821820400).

Almost surely, 2^410166041256 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 410166041256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567447379200).

410166041256 is an abundant number, since it is smaller than the sum of its proper divisors (724728717144).

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

410166041256 is a wasteful number, since it uses less digits than its factorization.

410166041256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42039 (or 42032 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 410166041256 in words is "four hundred ten billion, one hundred sixty-six million, forty-one thousand, two hundred fifty-six".