14123415400 has 96 divisors (see below), whose sum is σ = 34086746880. Its totient is φ = 5438304000.

The previous prime is 14123415391. The next prime is 14123415421. The reversal of 14123415400 is 451432141.

14123415400 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 (25).

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, 561085 + ... + 585715.

It is an arithmetic number, because the mean of its divisors is an integer number (355070280).

Almost surely, 2^14123415400 is an apocalyptic number.

14123415400 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 14123415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043373440).

14123415400 is an abundant number, since it is smaller than the sum of its proper divisors (19963331480).

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

14123415400 is a wasteful number, since it uses less digits than its factorization.

14123415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24755 (or 24746 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14123415400 its reverse (451432141), we get a palindrome (14574847541).

The spelling of 14123415400 in words is "fourteen billion, one hundred twenty-three million, four hundred fifteen thousand, four hundred".