40032717504 has 224 divisors, whose sum is σ = 120628623360. Its totient is φ = 11628748800.

The previous prime is 40032717497. The next prime is 40032717511. The reversal of 40032717504 is 40571723004.

It is an interprime number because it is at equal distance from previous prime (40032717497) and next prime (40032717511).

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 31 ways as a sum of consecutive naturals, for example, 3166107 + ... + 3178725.

It is an arithmetic number, because the mean of its divisors is an integer number (538520640).

Almost surely, 2^40032717504 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 40032717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60314311680).

40032717504 is an abundant number, since it is smaller than the sum of its proper divisors (80595905856).

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

40032717504 is a wasteful number, since it uses less digits than its factorization.

40032717504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 40032717504 in words is "forty billion, thirty-two million, seven hundred seventeen thousand, five hundred four".