4020031616832 has 756 divisors, whose sum is σ = 14812809193728. Its totient is φ = 1038528691200.

The previous prime is 4020031616803. The next prime is 4020031616837. The reversal of 4020031616832 is 2386161300204.

4020031616832 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 0 + 3 + 1 + 616 + 8 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020031616837) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 652281783 + ... + 652287945.

Almost surely, 2^{4020031616832} is an apocalyptic number.

4020031616832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020031616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406404596864).

4020031616832 is an abundant number, since it is smaller than the sum of its proper divisors (10792777576896).

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

4020031616832 is a wasteful number, since it uses less digits than its factorization.

4020031616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4020031616832 in words is "four trillion, twenty billion, thirty-one million, six hundred sixteen thousand, eight hundred thirty-two".