40032164736 has 160 divisors (see below), whose sum is σ = 119350102080. Its totient is φ = 13319976960.

The previous prime is 40032164719. The next prime is 40032164747. The reversal of 40032164736 is 63746123004.

It is a happy number.

40032164736 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 2 + 1 + 647 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40032164736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6290196 + ... + 6296556.

It is an arithmetic number, because the mean of its divisors is an integer number (745938138).

Almost surely, 2^40032164736 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 40032164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59675051040).

40032164736 is an abundant number, since it is smaller than the sum of its proper divisors (79317937344).

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

40032164736 is an equidigital number, since it uses as much as digits as its factorization.

40032164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40032164736 in words is "forty billion, thirty-two million, one hundred sixty-four thousand, seven hundred thirty-six".