14400331020 has 72 divisors (see below), whose sum is σ = 43745332176. Its totient is φ = 3834433152.

The previous prime is 14400331003. The next prime is 14400331039. The reversal of 14400331020 is 2013300441.

14400331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14400330984 and 14400331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64374 + ... + 181506.

It is an arithmetic number, because the mean of its divisors is an integer number (607574058).

Almost surely, 2^14400331020 is an apocalyptic number.

14400331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400331020 is an abundant number, since it is smaller than the sum of its proper divisors (29345001156).

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

14400331020 is a wasteful number, since it uses less digits than its factorization.

14400331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117831 (or 117826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14400331020 its reverse (2013300441), we get a palindrome (16413631461).

The spelling of 14400331020 in words is "fourteen billion, four hundred million, three hundred thirty-one thousand, twenty".