41216616064 has 64 divisors (see below), whose sum is σ = 88504484040. Its totient is φ = 19006488576.

The previous prime is 41216616037. The next prime is 41216616073. The reversal of 41216616064 is 46061661214.

It can be written as a sum of positive squares in 4 ways, for example, as 22622566464 + 18594049600 = 150408^2 + 136360^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2014912 + ... + 2035264.

Almost surely, 2^41216616064 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 41216616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44252242020).

41216616064 is an abundant number, since it is smaller than the sum of its proper divisors (47287867976).

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

41216616064 is a wasteful number, since it uses less digits than its factorization.

41216616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21597 (or 21585 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 41216616064 in words is "forty-one billion, two hundred sixteen million, six hundred sixteen thousand, sixty-four".