4031625993696 has 432 divisors, whose sum is σ = 13900479465600. Its totient is φ = 1146083178240.

The previous prime is 4031625993523. The next prime is 4031625993697. The reversal of 4031625993696 is 6963995261304.

4031625993696 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 6 + 2 + 599 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031625993697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75797191 + ... + 75850361.

It is an arithmetic number, because the mean of its divisors is an integer number (32177035800).

Almost surely, 2^{4031625993696} 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 4031625993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950239732800).

4031625993696 is an abundant number, since it is smaller than the sum of its proper divisors (9868853471904).

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

4031625993696 is a wasteful number, since it uses less digits than its factorization.

4031625993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53409 (or 53382 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 4031625993696 in words is "four trillion, thirty-one billion, six hundred twenty-five million, nine hundred ninety-three thousand, six hundred ninety-six".