14401213350200 has 96 divisors (see below), whose sum is σ = 34724654488800. Its totient is φ = 5547837335040.

The previous prime is 14401213350179. The next prime is 14401213350221. The reversal of 14401213350200 is 205331210441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14401213350179) and next prime (14401213350221).

It is a self number, because there is not a number n which added to its sum of digits gives 14401213350200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824564 + ... + 5429763.

It is an arithmetic number, because the mean of its divisors is an integer number (361715150925).

Almost surely, 2^{14401213350200} is an apocalyptic number.

14401213350200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401213350200 is an abundant number, since it is smaller than the sum of its proper divisors (20323441138600).

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

14401213350200 is a wasteful number, since it uses less digits than its factorization.

14401213350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254769 (or 6254760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14401213350200 its reverse (205331210441), we get a palindrome (14606544560641).

The spelling of 14401213350200 in words is "fourteen trillion, four hundred one billion, two hundred thirteen million, three hundred fifty thousand, two hundred".