114044310240 has 192 divisors, whose sum is σ = 410717454336. Its totient is φ = 26057244672.

The previous prime is 114044310217. The next prime is 114044310269. The reversal of 114044310240 is 42013440411.

It is a super-2 number, since 2×114044310240² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114044310240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12034144 + ... + 12043616.

It is an arithmetic number, because the mean of its divisors is an integer number (2139153408).

Almost surely, 2^114044310240 is an apocalyptic number.

114044310240 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 114044310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205358727168).

114044310240 is an abundant number, since it is smaller than the sum of its proper divisors (296673144096).

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

114044310240 is a wasteful number, since it uses less digits than its factorization.

114044310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13081 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114044310240 its reverse (42013440411), we get a palindrome (156057750651).

The spelling of 114044310240 in words is "one hundred fourteen billion, forty-four million, three hundred ten thousand, two hundred forty".