14122144400 has 120 divisors (see below), whose sum is σ = 41758202304. Its totient is φ = 4469414400.

The previous prime is 14122144397. The next prime is 14122144403. The reversal of 14122144400 is 444122141.

14122144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14122144397) and next prime (14122144403).

It is not an unprimeable number, because it can be changed into a prime (14122144403) by changing a digit.

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, 157586 + ... + 230385.

Almost surely, 2^14122144400 is an apocalyptic number.

14122144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122144400 is an abundant number, since it is smaller than the sum of its proper divisors (27636057904).

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

14122144400 is a wasteful number, since it uses less digits than its factorization.

14122144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388009 (or 387998 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 14122144400 its reverse (444122141), we get a palindrome (14566266541).

The spelling of 14122144400 in words is "fourteen billion, one hundred twenty-two million, one hundred forty-four thousand, four hundred".