114140433120 has 192 divisors, whose sum is σ = 412855543296. Its totient is φ = 25965434880.

The previous prime is 114140433109. The next prime is 114140433139. The reversal of 114140433120 is 21334041411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 628462 + ... + 789458.

It is an arithmetic number, because the mean of its divisors is an integer number (2150289288).

Almost surely, 2^114140433120 is an apocalyptic number.

114140433120 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 114140433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206427771648).

114140433120 is an abundant number, since it is smaller than the sum of its proper divisors (298715110176).

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

114140433120 is a wasteful number, since it uses less digits than its factorization.

114140433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161233 (or 161225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114140433120 its reverse (21334041411), we get a palindrome (135474474531).

The spelling of 114140433120 in words is "one hundred fourteen billion, one hundred forty million, four hundred thirty-three thousand, one hundred twenty".