14204113210200 has 192 divisors, whose sum is σ = 46352921616000. Its totient is φ = 3588201815040.

The previous prime is 14204113210121. The next prime is 14204113210223. The reversal of 14204113210200 is 201231140241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344932012 + ... + 344973188.

It is an arithmetic number, because the mean of its divisors is an integer number (241421466750).

Almost surely, 2^{14204113210200} is an apocalyptic number.

14204113210200 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 14204113210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176460808000).

14204113210200 is an abundant number, since it is smaller than the sum of its proper divisors (32148808405800).

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

14204113210200 is a wasteful number, since it uses less digits than its factorization.

14204113210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71474 (or 71465 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14204113210200 its reverse (201231140241), we get a palindrome (14405344350441).

The spelling of 14204113210200 in words is "fourteen trillion, two hundred four billion, one hundred thirteen million, two hundred ten thousand, two hundred".