114042131280 has 320 divisors, whose sum is σ = 489740083200. Its totient is φ = 23697031680.

The previous prime is 114042131249. The next prime is 114042131297. The reversal of 114042131280 is 82131240411.

114042131280 is a `hidden beast` number, since 114 + 0 + 421 + 3 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 176520 + ... + 509159.

It is an arithmetic number, because the mean of its divisors is an integer number (1530437760).

Almost surely, 2^114042131280 is an apocalyptic number.

114042131280 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 114042131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244870041600).

114042131280 is an abundant number, since it is smaller than the sum of its proper divisors (375697951920).

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

114042131280 is a wasteful number, since it uses less digits than its factorization.

114042131280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685719 (or 685707 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114042131280 its reverse (82131240411), we get a palindrome (196173371691).

The spelling of 114042131280 in words is "one hundred fourteen billion, forty-two million, one hundred thirty-one thousand, two hundred eighty".