40288023233664 has 128 divisors (see below), whose sum is σ = 113075756006400. Its totient is φ = 12674158396416.

The previous prime is 40288023233629. The next prime is 40288023233701. The reversal of 40288023233664 is 46633232088204.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 8579124 + ... + 12416819.

It is an arithmetic number, because the mean of its divisors is an integer number (883404343800).

Almost surely, 2^{40288023233664} is an apocalyptic number.

It is an amenable number.

40288023233664 is an abundant number, since it is smaller than the sum of its proper divisors (72787732772736).

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

40288023233664 is a wasteful number, since it uses less digits than its factorization.

40288023233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20996242 (or 20996230 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 40288023233664 in words is "forty trillion, two hundred eighty-eight billion, twenty-three million, two hundred thirty-three thousand, six hundred sixty-four".