40664915375904 has 144 divisors (see below), whose sum is σ = 115724241228960. Its totient is φ = 13545201438720.

The previous prime is 40664915375893. The next prime is 40664915375923. The reversal of 40664915375904 is 40957351946604.

It is a happy number.

40664915375904 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 4 + 9 + 1 + 5 + 37 + 590 + 4 = 666.

40664915375904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686095567 + ... + 2686110705.

It is an arithmetic number, because the mean of its divisors is an integer number (803640564090).

Almost surely, 2^{40664915375904} is an apocalyptic number.

It is an amenable number.

40664915375904 is an abundant number, since it is smaller than the sum of its proper divisors (75059325853056).

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

40664915375904 is a wasteful number, since it uses less digits than its factorization.

40664915375904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 40664915375904 in words is "forty trillion, six hundred sixty-four billion, nine hundred fifteen million, three hundred seventy-five thousand, nine hundred four".