4032442304 has 112 divisors (see below), whose sum is σ = 9222614016. Its totient is φ = 1732147200.

The previous prime is 4032442289. The next prime is 4032442319.

4032442304 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4032442289) and next prime (4032442319).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936284 + ... + 940580.

It is an arithmetic number, because the mean of its divisors is an integer number (82344768).

Almost surely, 2^4032442304 is an apocalyptic number.

4032442304 is a gapful number since it is divisible by the number (44) 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 4032442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611307008).

4032442304 is an abundant number, since it is smaller than the sum of its proper divisors (5190171712).

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

4032442304 is a wasteful number, since it uses less digits than its factorization.

4032442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 4032442304 is about 63501.5141866712. The cubic root of 4032442304 is about 1591.6810805319.

It can be divided in two parts, 40324 and 42304, that added together give a palindrome (82628).

The spelling of 4032442304 in words is "four billion, thirty-two million, four hundred forty-two thousand, three hundred four".