14115442400 has 36 divisors (see below), whose sum is σ = 34459325712. Its totient is φ = 5646176640.

The previous prime is 14115442301. The next prime is 14115442409. The reversal of 14115442400 is 424451141.

It is a self number, because there is not a number n which added to its sum of digits gives 14115442400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115442409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8821352 + ... + 8822951.

It is an arithmetic number, because the mean of its divisors is an integer number (957203492).

Almost surely, 2^14115442400 is an apocalyptic number.

14115442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14115442400 is an abundant number, since it is smaller than the sum of its proper divisors (20343883312).

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

14115442400 is a wasteful number, since it uses less digits than its factorization.

14115442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17644323 (or 17644310 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 14115442400 its reverse (424451141), we get a palindrome (14539893541).

The spelling of 14115442400 in words is "fourteen billion, one hundred fifteen million, four hundred forty-two thousand, four hundred".