114123544440 has 256 divisors, whose sum is σ = 360364032000. Its totient is φ = 28878944256.

The previous prime is 114123544411. The next prime is 114123544471. The reversal of 114123544440 is 44445321411.

114123544440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72828537 + ... + 72830103.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672000).

Almost surely, 2^114123544440 is an apocalyptic number.

114123544440 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 114123544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016000).

114123544440 is an abundant number, since it is smaller than the sum of its proper divisors (246240487560).

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

114123544440 is a wasteful number, since it uses less digits than its factorization.

114123544440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 114123544440 its reverse (44445321411), we get a palindrome (158568865851).

The spelling of 114123544440 in words is "one hundred fourteen billion, one hundred twenty-three million, five hundred forty-four thousand, four hundred forty".