41166800416 has 72 divisors (see below), whose sum is σ = 94620681036. Its totient is φ = 17579036160.

The previous prime is 41166800387. The next prime is 41166800431. The reversal of 41166800416 is 61400866114.

It can be written as a sum of positive squares in 2 ways, for example, as 37250544016 + 3916256400 = 193004^2 + 62580^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386946 + ... + 481726.

Almost surely, 2^41166800416 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 41166800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47310340518).

41166800416 is an abundant number, since it is smaller than the sum of its proper divisors (53453880620).

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

41166800416 is a wasteful number, since it uses less digits than its factorization.

41166800416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95082 (or 95067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 41166800416 in words is "forty-one billion, one hundred sixty-six million, eight hundred thousand, four hundred sixteen".