41966964288 has 42 divisors (see below), whose sum is σ = 120290727414. Its totient is φ = 13988987904.

The previous prime is 41966964257. The next prime is 41966964307. The reversal of 41966964288 is 88246966914.

It can be written as a sum of positive squares in only one way, i.e., 23534014464 + 18432949824 = 153408^2 + 135768^2 .

It is a super-2 number, since 2×41966964288² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36429081 + ... + 36430232.

Almost surely, 2^41966964288 is an apocalyptic number.

41966964288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41966964288 is an abundant number, since it is smaller than the sum of its proper divisors (78323763126).

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

41966964288 is a wasteful number, since it uses less digits than its factorization.

41966964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72859331 (or 72859318 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 41966964288 in words is "forty-one billion, nine hundred sixty-six million, nine hundred sixty-four thousand, two hundred eighty-eight".