14200142097200 has 60 divisors (see below), whose sum is σ = 34947935121288. Its totient is φ = 5541518860800.

The previous prime is 14200142097133. The next prime is 14200142097203. The reversal of 14200142097200 is 279024100241.

It is a happy number.

It is a super-2 number, since 2×14200142097200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14200142097203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432914762 + ... + 432947561.

Almost surely, 2^{14200142097200} is an apocalyptic number.

14200142097200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200142097200 is an abundant number, since it is smaller than the sum of its proper divisors (20747793024088).

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

14200142097200 is a wasteful number, since it uses less digits than its factorization.

14200142097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865862382 (or 865862371 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 14200142097200 its reverse (279024100241), we get a palindrome (14479166197441).

The spelling of 14200142097200 in words is "fourteen trillion, two hundred billion, one hundred forty-two million, ninety-seven thousand, two hundred".