41964328288 has 96 divisors (see below), whose sum is σ = 85152549888. Its totient is φ = 20349964800.

The previous prime is 41964328271. The next prime is 41964328339. The reversal of 41964328288 is 88282346914.

It is a super-2 number, since 2×41964328288² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69133681 + ... + 69134287.

It is an arithmetic number, because the mean of its divisors is an integer number (887005728).

Almost surely, 2^41964328288 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 41964328288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42576274944).

41964328288 is an abundant number, since it is smaller than the sum of its proper divisors (43188221600).

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

41964328288 is a wasteful number, since it uses less digits than its factorization.

41964328288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 55.

It can be divided in two parts, 419643 and 28288, that added together give a triangular number (447931 = T₉₄₆).

The spelling of 41964328288 in words is "forty-one billion, nine hundred sixty-four million, three hundred twenty-eight thousand, two hundred eighty-eight".