4032104832 has 224 divisors, whose sum is σ = 13766291280. Its totient is φ = 1151843328.

The previous prime is 4032104809. The next prime is 4032104833. The reversal of 4032104832 is 2384012304.

4032104832 is a `hidden beast` number, since 403 + 210 + 48 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4032104796 and 4032104805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032104833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 650098 + ... + 656270.

Almost surely, 2^4032104832 is an apocalyptic number.

4032104832 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 4032104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883145640).

4032104832 is an abundant number, since it is smaller than the sum of its proper divisors (9734186448).

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

4032104832 is an frugal number, since it uses more digits than its factorization.

4032104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4032104832 is about 63498.8569345937. The cubic root of 4032104832 is about 1591.6366771040.

The spelling of 4032104832 in words is "four billion, thirty-two million, one hundred four thousand, eight hundred thirty-two".