4032000400 has 60 divisors (see below), whose sum is σ = 9723966912. Its totient is φ = 1606625920.

The previous prime is 4032000391. The next prime is 4032000407. The reversal of 4032000400 is 40002304.

It is not an unprimeable number, because it can be changed into a prime (4032000407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86037 + ... + 124363.

Almost surely, 2^4032000400 is an apocalyptic number.

4032000400 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 4032000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861983456).

4032000400 is an abundant number, since it is smaller than the sum of its proper divisors (5691966512).

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

4032000400 is a wasteful number, since it uses less digits than its factorization.

4032000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38608 (or 38597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4032000400 is about 63498.0346152540. The cubic root of 4032000400 is about 1591.6229357916.

Adding to 4032000400 its reverse (40002304), we get a palindrome (4072002704).

The spelling of 4032000400 in words is "four billion, thirty-two million, four hundred", and thus it is an aban number.