114442044310000 has 400 divisors, whose sum is σ = 329144632502400. Its totient is φ = 38065507200000.

The previous prime is 114442044309977. The next prime is 114442044310003. The reversal of 114442044310000 is 13440244411.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×114442044310000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114442044310003) 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, 59665915 + ... + 61554085.

It is an arithmetic number, because the mean of its divisors is an integer number (822861581256).

Almost surely, 2^{114442044310000} is an apocalyptic number.

114442044310000 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 114442044310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164572316251200).

114442044310000 is an abundant number, since it is smaller than the sum of its proper divisors (214702588192400).

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

114442044310000 is a wasteful number, since it uses less digits than its factorization.

114442044310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888258 (or 1888237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114442044310000 its reverse (13440244411), we get a palindrome (114455484554411).

The spelling of 114442044310000 in words is "one hundred fourteen trillion, four hundred forty-two billion, forty-four million, three hundred ten thousand".