14231304024400 has 60 divisors (see below), whose sum is σ = 34191144442300. Its totient is φ = 5692448931840.

The previous prime is 14231304024367. The next prime is 14231304024407. The reversal of 14231304024400 is 442040313241.

14231304024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 979316076816 + 13251987947584 = 989604^2 + 3640328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14231304024407) 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, 40066786 + ... + 40420414.

Almost surely, 2^{14231304024400} is an apocalyptic number.

14231304024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14231304024400 is an abundant number, since it is smaller than the sum of its proper divisors (19959840417900).

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

14231304024400 is a wasteful number, since it uses less digits than its factorization.

14231304024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454256 (or 454245 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14231304024400 its reverse (442040313241), we get a palindrome (14673344337641).

The spelling of 14231304024400 in words is "fourteen trillion, two hundred thirty-one billion, three hundred four million, twenty-four thousand, four hundred".