114140204014200 has 384 divisors, whose sum is σ = 438006090816000. Its totient is φ = 23943122565120.

The previous prime is 114140204014169. The next prime is 114140204014271. The reversal of 114140204014200 is 2410402041411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3403951 + ... + 15487649.

It is an arithmetic number, because the mean of its divisors is an integer number (1140640861500).

Almost surely, 2^{114140204014200} is an apocalyptic number.

114140204014200 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 114140204014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219003045408000).

114140204014200 is an abundant number, since it is smaller than the sum of its proper divisors (323865886801800).

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

114140204014200 is a wasteful number, since it uses less digits than its factorization.

114140204014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083911 (or 12083902 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114140204014200 its reverse (2410402041411), we get a palindrome (116550606055611).

The spelling of 114140204014200 in words is "one hundred fourteen trillion, one hundred forty billion, two hundred four million, fourteen thousand, two hundred".