114241053440240 has 160 divisors (see below), whose sum is σ = 271586417356800. Its totient is φ = 44676855895040.

The previous prime is 114241053440221. The next prime is 114241053440281. The reversal of 114241053440240 is 42044350142411.

It is a super-2 number, since 2×114241053440240² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114241053440240.

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, 5132342231 + ... + 5132364489.

It is an arithmetic number, because the mean of its divisors is an integer number (1697415108480).

Almost surely, 2^{114241053440240} is an apocalyptic number.

114241053440240 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 114241053440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135793208678400).

114241053440240 is an abundant number, since it is smaller than the sum of its proper divisors (157345363916560).

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

114241053440240 is a wasteful number, since it uses less digits than its factorization.

114241053440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28215 (or 28209 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 114241053440240 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-three million, four hundred forty thousand, two hundred forty".