40536004025664 has 280 divisors, whose sum is σ = 137927042042240. Its totient is φ = 11531137895424.

The previous prime is 40536004025633. The next prime is 40536004025669. The reversal of 40536004025664 is 46652040063504.

It is a happy number.

40536004025664 is a `hidden beast` number, since 4 + 0 + 536 + 0 + 0 + 4 + 0 + 2 + 56 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40536004025669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5870949 + ... + 10748955.

Almost surely, 2^{40536004025664} 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 40536004025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68963521021120).

40536004025664 is an abundant number, since it is smaller than the sum of its proper divisors (97391038016576).

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

40536004025664 is a wasteful number, since it uses less digits than its factorization.

40536004025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878267 (or 4878248 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 40536004025664 in words is "forty trillion, five hundred thirty-six billion, four million, twenty-five thousand, six hundred sixty-four".