14222402400 has 144 divisors (see below), whose sum is σ = 46410310800. Its totient is φ = 3783106560.

The previous prime is 14222402399. The next prime is 14222402449. The reversal of 14222402400 is 420422241.

14222402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 974356 + ... + 988844.

It is an arithmetic number, because the mean of its divisors is an integer number (322293825).

Almost surely, 2^14222402400 is an apocalyptic number.

14222402400 is a gapful number since it is divisible by the number (10) 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 14222402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205155400).

14222402400 is an abundant number, since it is smaller than the sum of its proper divisors (32187908400).

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

14222402400 is a wasteful number, since it uses less digits than its factorization.

14222402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14222402400 its reverse (420422241), we get a palindrome (14642824641).

The spelling of 14222402400 in words is "fourteen billion, two hundred twenty-two million, four hundred two thousand, four hundred".