41144876964 has 135 divisors (see below), whose sum is σ = 109990651771. Its totient is φ = 13411913040.

The previous prime is 41144876959. The next prime is 41144877019. The reversal of 41144876964 is 46967844114.

The square root of 41144876964 is 202842.

It is a perfect power (a square), and thus also a powerful number.

41144876964 is a `hidden beast` number, since 41 + 1 + 4 + 487 + 69 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41144876964.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 215418109 + ... + 215418299.

Almost surely, 2^41144876964 is an apocalyptic number.

41144876964 is the 202842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144876964

41144876964 is an abundant number, since it is smaller than the sum of its proper divisors (68845774807).

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

41144876964 is an equidigital number, since it uses as much as digits as its factorization.

41144876964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 255 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 41144876964 in words is "forty-one billion, one hundred forty-four million, eight hundred seventy-six thousand, nine hundred sixty-four".