14240200200000 has 672 divisors, whose sum is σ = 48002927616000. Its totient is φ = 3724627200000.

The previous prime is 14240200199983. The next prime is 14240200200053. The reversal of 14240200200000 is 200204241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9499799251 + ... + 9499800749.

It is an arithmetic number, because the mean of its divisors is an integer number (71432928000).

Almost surely, 2^{14240200200000} is an apocalyptic number.

14240200200000 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 14240200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24001463808000).

14240200200000 is an abundant number, since it is smaller than the sum of its proper divisors (33762727416000).

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

14240200200000 is an equidigital number, since it uses as much as digits as its factorization.

14240200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 14240200200000 its reverse (200204241), we get a palindrome (14240400404241).

The spelling of 14240200200000 in words is "fourteen trillion, two hundred forty billion, two hundred million, two hundred thousand".