4032031232016 has 240 divisors, whose sum is σ = 11549072895360. Its totient is φ = 1312789524480.

The previous prime is 4032031231981. The next prime is 4032031232027. The reversal of 4032031232016 is 6102321302304.

4032031232016 is a `hidden beast` number, since 4 + 0 + 3 + 20 + 312 + 320 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778532115 + ... + 778537293.

It is an arithmetic number, because the mean of its divisors is an integer number (48121137064).

Almost surely, 2^{4032031232016} 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 4032031232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774536447680).

4032031232016 is an abundant number, since it is smaller than the sum of its proper divisors (7517041663344).

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

4032031232016 is a wasteful number, since it uses less digits than its factorization.

4032031232016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 4032031232016 in words is "four trillion, thirty-two billion, thirty-one million, two hundred thirty-two thousand, sixteen".