14230000400200 has 288 divisors, whose sum is σ = 36097789147200. Its totient is φ = 5214377825280.

The previous prime is 14230000400191. The next prime is 14230000400237. The reversal of 14230000400200 is 200400003241.

It is a super-2 number, since 2×14230000400200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2462360911 + ... + 2462366689.

It is an arithmetic number, because the mean of its divisors is an integer number (125339545650).

Almost surely, 2^{14230000400200} is an apocalyptic number.

14230000400200 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 14230000400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048894573600).

14230000400200 is an abundant number, since it is smaller than the sum of its proper divisors (21867788747000).

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

14230000400200 is a wasteful number, since it uses less digits than its factorization.

14230000400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14230000400200 its reverse (200400003241), we get a palindrome (14430400403441).

The spelling of 14230000400200 in words is "fourteen trillion, two hundred thirty billion, four hundred thousand, two hundred".