14214432113200 has 240 divisors, whose sum is σ = 37805707279872. Its totient is φ = 5092541440000.

The previous prime is 14214432113191. The next prime is 14214432113201. The reversal of 14214432113200 is 231123441241.

It is a happy number.

It is a super-2 number, since 2×14214432113200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14214432113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472021344 + ... + 472051456.

Almost surely, 2^{14214432113200} is an apocalyptic number.

14214432113200 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 14214432113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18902853639936).

14214432113200 is an abundant number, since it is smaller than the sum of its proper divisors (23591275166672).

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

14214432113200 is a wasteful number, since it uses less digits than its factorization.

14214432113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724 (or 31713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14214432113200 its reverse (231123441241), we get a palindrome (14445555554441).

The spelling of 14214432113200 in words is "fourteen trillion, two hundred fourteen billion, four hundred thirty-two million, one hundred thirteen thousand, two hundred".