14131042200 has 288 divisors, whose sum is σ = 51991158960. Its totient is φ = 3411148800.

The previous prime is 14131042153. The next prime is 14131042213. The reversal of 14131042200 is 224013141.

14131042200 is a `hidden beast` number, since 1 + 413 + 10 + 42 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5087212 + ... + 5089988.

Almost surely, 2^14131042200 is an apocalyptic number.

14131042200 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 14131042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25995579480).

14131042200 is an abundant number, since it is smaller than the sum of its proper divisors (37860116760).

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

14131042200 is a wasteful number, since it uses less digits than its factorization.

14131042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14131042200 its reverse (224013141), we get a palindrome (14355055341).

The spelling of 14131042200 in words is "fourteen billion, one hundred thirty-one million, forty-two thousand, two hundred".