41964585264 has 120 divisors (see below), whose sum is σ = 135075476640. Its totient is φ = 11913467904.

The previous prime is 41964585251. The next prime is 41964585283. The reversal of 41964585264 is 46258546914.

It is a happy number.

41964585264 is a `hidden beast` number, since 4 + 1 + 9 + 64 + 58 + 526 + 4 = 666.

It is a super-2 number, since 2×41964585264² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41964585264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25672 + ... + 290840.

It is an arithmetic number, because the mean of its divisors is an integer number (1125628972).

Almost surely, 2^41964585264 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 41964585264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67537738320).

41964585264 is an abundant number, since it is smaller than the sum of its proper divisors (93110891376).

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

41964585264 is a wasteful number, since it uses less digits than its factorization.

41964585264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265347 (or 265338 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 41964585264 in words is "forty-one billion, nine hundred sixty-four million, five hundred eighty-five thousand, two hundred sixty-four".