114042131424 has 288 divisors, whose sum is σ = 370476366624. Its totient is φ = 32965263360.

The previous prime is 114042131419. The next prime is 114042131447. The reversal of 114042131424 is 424131240411.

114042131424 is a `hidden beast` number, since 1 + 1 + 404 + 213 + 1 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43979472 + ... + 43982064.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376273).

Almost surely, 2^114042131424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114042131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238183312).

114042131424 is an abundant number, since it is smaller than the sum of its proper divisors (256434235200).

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

114042131424 is a wasteful number, since it uses less digits than its factorization.

114042131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114042131424 its reverse (424131240411), we get a palindrome (538173371835).

The spelling of 114042131424 in words is "one hundred fourteen billion, forty-two million, one hundred thirty-one thousand, four hundred twenty-four".