4032232114400 has 144 divisors (see below), whose sum is σ = 11332046015136. Its totient is φ = 1372388229120.

The previous prime is 4032232114363. The next prime is 4032232114423. The reversal of 4032232114400 is 44112322304.

It is a self number, because there is not a number n which added to its sum of digits gives 4032232114400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1860689 + ... + 3395088.

It is an arithmetic number, because the mean of its divisors is an integer number (78694763994).

Almost surely, 2^{4032232114400} is an apocalyptic number.

4032232114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032232114400 is an abundant number, since it is smaller than the sum of its proper divisors (7299813900736).

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

4032232114400 is a wasteful number, since it uses less digits than its factorization.

4032232114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255941 (or 5255928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4032232114400 its reverse (44112322304), we get a palindrome (4076344436704).

The spelling of 4032232114400 in words is "four trillion, thirty-two billion, two hundred thirty-two million, one hundred fourteen thousand, four hundred".