114980790090240 has 960 divisors, whose sum is σ = 416400538409856. Its totient is φ = 30406856343552.

The previous prime is 114980790090227. The next prime is 114980790090241. The reversal of 114980790090240 is 42090097089411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114980790090241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75496250119 + ... + 75496251641.

Almost surely, 2^{114980790090240} is an apocalyptic number.

114980790090240 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 114980790090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208200269204928).

114980790090240 is an abundant number, since it is smaller than the sum of its proper divisors (301419748319616).

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

114980790090240 is an equidigital number, since it uses as much as digits as its factorization.

114980790090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 114980790090240 in words is "one hundred fourteen trillion, nine hundred eighty billion, seven hundred ninety million, ninety thousand, two hundred forty".