4032000084112 has 640 divisors, whose sum is σ = 11301692645376. Its totient is φ = 1340928000000.

The previous prime is 4032000084037. The next prime is 4032000084157. The reversal of 4032000084112 is 2114800002304.

4032000084112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4152419787 + ... + 4152420757.

Almost surely, 2^{4032000084112} 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 4032000084112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650846322688).

4032000084112 is an abundant number, since it is smaller than the sum of its proper divisors (7269692561264).

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

4032000084112 is a wasteful number, since it uses less digits than its factorization.

4032000084112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4032000084112 its reverse (2114800002304), we get a palindrome (6146800086416).

The spelling of 4032000084112 in words is "four trillion, thirty-two billion, eighty-four thousand, one hundred twelve".