4232120400 has 150 divisors (see below), whose sum is σ = 15188856782. Its totient is φ = 1128556800.

The previous prime is 4232120393. The next prime is 4232120407. The reversal of 4232120400 is 40212324.

It is an interprime number because it is at equal distance from previous prime (4232120393) and next prime (4232120407).

It can be written as a sum of positive squares in 3 ways, for example, as 61027344 + 4171093056 = 7812^2 + 64584^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232120407) 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 29 ways as a sum of consecutive naturals, for example, 32911 + ... + 97710.

Almost surely, 2^4232120400 is an apocalyptic number.

4232120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4232120400 is an abundant number, since it is smaller than the sum of its proper divisors (10956736382).

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

4232120400 is a wasteful number, since it uses less digits than its factorization.

4232120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130651 (or 130631 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4232120400 is about 65054.7492501508. The cubic root of 4232120400 is about 1617.5312190638.

Adding to 4232120400 its reverse (40212324), we get a palindrome (4272332724).

The spelling of 4232120400 in words is "four billion, two hundred thirty-two million, one hundred twenty thousand, four hundred".