4004016692832 has 576 divisors, whose sum is σ = 13209442908480. Its totient is φ = 1139539968000.

The previous prime is 4004016692821. The next prime is 4004016692839. The reversal of 4004016692832 is 2382966104004.

4004016692832 is a `hidden beast` number, since 400 + 4 + 0 + 166 + 9 + 2 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004016692839) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893552032 + ... + 893556512.

It is an arithmetic number, because the mean of its divisors is an integer number (22933060605).

Almost surely, 2^{4004016692832} 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 4004016692832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604721454240).

4004016692832 is an abundant number, since it is smaller than the sum of its proper divisors (9205426215648).

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

4004016692832 is a wasteful number, since it uses less digits than its factorization.

4004016692832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4004016692832 in words is "four trillion, four billion, sixteen million, six hundred ninety-two thousand, eight hundred thirty-two".