114400013340000 has 480 divisors, whose sum is σ = 378914239630080. Its totient is φ = 30210555136000.

The previous prime is 114400013339993. The next prime is 114400013340007. The reversal of 114400013340000 is 43310004411.

It is an interprime number because it is at equal distance from previous prime (114400013339993) and next prime (114400013340007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400013340007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2695358779 + ... + 2695401221.

It is an arithmetic number, because the mean of its divisors is an integer number (789404665896).

Almost surely, 2^{114400013340000} is an apocalyptic number.

114400013340000 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 114400013340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189457119815040).

114400013340000 is an abundant number, since it is smaller than the sum of its proper divisors (264514226290080).

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

114400013340000 is a wasteful number, since it uses less digits than its factorization.

114400013340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42912 (or 42889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114400013340000 its reverse (43310004411), we get a palindrome (114443323344411).

The spelling of 114400013340000 in words is "one hundred fourteen trillion, four hundred billion, thirteen million, three hundred forty thousand".