114714415370240 has 832 divisors, whose sum is σ = 345132306432000. Its totient is φ = 36465848745984.

The previous prime is 114714415370207. The next prime is 114714415370251. The reversal of 114714415370240 is 42073514417411.

It is a junction number, because it is equal to n+sod(n) for n = 114714415370191 and 114714415370200.

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, 6272994377 + ... + 6273012663.

Almost surely, 2^{114714415370240} is an apocalyptic number.

114714415370240 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 114714415370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172566153216000).

114714415370240 is an abundant number, since it is smaller than the sum of its proper divisors (230417891061760).

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

114714415370240 is an equidigital number, since it uses as much as digits as its factorization.

114714415370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

Adding to 114714415370240 its reverse (42073514417411), we get a palindrome (156787929787651).

The spelling of 114714415370240 in words is "one hundred fourteen trillion, seven hundred fourteen billion, four hundred fifteen million, three hundred seventy thousand, two hundred forty".