14041430012200 has 96 divisors (see below), whose sum is σ = 33781173580800. Its totient is φ = 5421433731840.

The previous prime is 14041430012131. The next prime is 14041430012213. The reversal of 14041430012200 is 221003414041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21291817 + ... + 21941383.

It is an arithmetic number, because the mean of its divisors is an integer number (351887224800).

Almost surely, 2^{14041430012200} is an apocalyptic number.

14041430012200 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 14041430012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890586790400).

14041430012200 is an abundant number, since it is smaller than the sum of its proper divisors (19739743568600).

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

14041430012200 is a wasteful number, since it uses less digits than its factorization.

14041430012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653339 (or 653330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14041430012200 its reverse (221003414041), we get a palindrome (14262433426241).

The spelling of 14041430012200 in words is "fourteen trillion, forty-one billion, four hundred thirty million, twelve thousand, two hundred".