114114442441440 has 192 divisors, whose sum is σ = 410833262891520. Its totient is φ = 26081950648320.

The previous prime is 114114442441423. The next prime is 114114442441459. The reversal of 114114442441440 is 44144244411411.

114114442441440 is digitally balanced in base 4, 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 31 ways as a sum of consecutive naturals, for example, 64754706 + ... + 66493614.

It is an arithmetic number, because the mean of its divisors is an integer number (2139756577560).

Almost surely, 2^{114114442441440} is an apocalyptic number.

114114442441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114114442441440 is an abundant number, since it is smaller than the sum of its proper divisors (296718820450080).

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

114114442441440 is a wasteful number, since it uses less digits than its factorization.

114114442441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758465 (or 1758457 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 39.

Adding to 114114442441440 its reverse (44144244411411), we get a palindrome (158258686852851).

The spelling of 114114442441440 in words is "one hundred fourteen trillion, one hundred fourteen billion, four hundred forty-two million, four hundred forty-one thousand, four hundred forty".