4032000000 has 546 divisors, whose sum is σ = 16637755784. Its totient is φ = 921600000.

The previous prime is 4031999971. The next prime is 4032000017. The reversal of 4032000000 is 2304.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 575999997 + ... + 576000003.

Almost surely, 2^4032000000 is an apocalyptic number.

4032000000 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 4032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318877892).

4032000000 is an abundant number, since it is smaller than the sum of its proper divisors (12605755784).

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

4032000000 is an frugal number, since it uses more digits than its factorization.

4032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4032000000 is about 63498.0314655502. The cubic root of 4032000000 is about 1591.6228831586.

Adding to 4032000000 its reverse (2304), we get a palindrome (4032002304).

It can be divided in two parts, 40 and 32000000, that multiplied together give a 7-th power (1280000000 = 20⁷).

The spelling of 4032000000 in words is "four billion, thirty-two million", and thus it is an aban number and an eban number.