4032264320 has 128 divisors (see below), whose sum is σ = 11496003840. Its totient is φ = 1322348544.

The previous prime is 4032264319. The next prime is 4032264331. The reversal of 4032264320 is 234622304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4032264320.

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, 83474 + ... + 122606.

It is an arithmetic number, because the mean of its divisors is an integer number (89812530).

Almost surely, 2^4032264320 is an apocalyptic number.

4032264320 is a gapful number since it is divisible by the number (40) 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 4032264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748001920).

4032264320 is an abundant number, since it is smaller than the sum of its proper divisors (7463739520).

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

4032264320 is a wasteful number, since it uses less digits than its factorization.

4032264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39182 (or 39170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4032264320 is about 63500.1127558054. The cubic root of 4032264320 is about 1591.6576623060.

Adding to 4032264320 its reverse (234622304), we get a palindrome (4266886624).

The spelling of 4032264320 in words is "four billion, thirty-two million, two hundred sixty-four thousand, three hundred twenty".