41110806260160 has 672 divisors, whose sum is σ = 179479005511680. Its totient is φ = 8673926197248.

The previous prime is 41110806260131. The next prime is 41110806260231. The reversal of 41110806260160 is 6106260801114.

41110806260160 is a `hidden beast` number, since 4 + 1 + 1 + 10 + 8 + 0 + 626 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8210049 + ... + 12232191.

It is an arithmetic number, because the mean of its divisors is an integer number (267081853440).

Almost surely, 2^{41110806260160} is an apocalyptic number.

41110806260160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41110806260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89739502755840).

41110806260160 is an abundant number, since it is smaller than the sum of its proper divisors (138368199251520).

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

41110806260160 is a wasteful number, since it uses less digits than its factorization.

41110806260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022202 (or 4022173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 41110806260160 in words is "forty-one trillion, one hundred ten billion, eight hundred six million, two hundred sixty thousand, one hundred sixty".