114240020302240 has 192 divisors, whose sum is σ = 314797663353600. Its totient is φ = 39161193630720.

The previous prime is 114240020302183. The next prime is 114240020302241. The reversal of 114240020302240 is 42203020042411.

It is not an unprimeable number, because it can be changed into a prime (114240020302241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320485710 + ... + 320841970.

It is an arithmetic number, because the mean of its divisors is an integer number (1639571163300).

Almost surely, 2^{114240020302240} is an apocalyptic number.

114240020302240 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 114240020302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157398831676800).

114240020302240 is an abundant number, since it is smaller than the sum of its proper divisors (200557643051360).

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

114240020302240 is an equidigital number, since it uses as much as digits as its factorization.

114240020302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362140 (or 362118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114240020302240 its reverse (42203020042411), we get a palindrome (156443040344651).

The spelling of 114240020302240 in words is "one hundred fourteen trillion, two hundred forty billion, twenty million, three hundred two thousand, two hundred forty".