14142113400 has 96 divisors (see below), whose sum is σ = 43900940160. Its totient is φ = 3766035840.

The previous prime is 14142113399. The next prime is 14142113441. The reversal of 14142113400 is 431124141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429939 + ... + 461661.

It is an arithmetic number, because the mean of its divisors is an integer number (457301460).

Almost surely, 2^14142113400 is an apocalyptic number.

14142113400 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 14142113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21950470080).

14142113400 is an abundant number, since it is smaller than the sum of its proper divisors (29758826760).

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

14142113400 is a wasteful number, since it uses less digits than its factorization.

14142113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485 (or 32476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14142113400 its reverse (431124141), we get a palindrome (14573237541).

The spelling of 14142113400 in words is "fourteen billion, one hundred forty-two million, one hundred thirteen thousand, four hundred".