4107234432 has 256 divisors, whose sum is σ = 13034522880. Its totient is φ = 1121402880.

The previous prime is 4107234413. The next prime is 4107234433. The reversal of 4107234432 is 2344327014.

4107234432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4107234432.

It is not an unprimeable number, because it can be changed into a prime (4107234433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6066478 + ... + 6067154.

It is an arithmetic number, because the mean of its divisors is an integer number (50916105).

Almost surely, 2^4107234432 is an apocalyptic number.

4107234432 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 4107234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517261440).

4107234432 is an abundant number, since it is smaller than the sum of its proper divisors (8927288448).

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

4107234432 is a wasteful number, since it uses less digits than its factorization.

4107234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4107234432 is about 64087.7088996010. The cubic root of 4107234432 is about 1601.4614813055.

The spelling of 4107234432 in words is "four billion, one hundred seven million, two hundred thirty-four thousand, four hundred thirty-two".