114244142040 has 256 divisors, whose sum is σ = 435686860800. Its totient is φ = 26084685312.

The previous prime is 114244142029. The next prime is 114244142057. The reversal of 114244142040 is 40241442411.

It is a happy number.

114244142040 is a `hidden beast` number, since 1 + 1 + 42 + 4 + 414 + 204 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114244141995 and 114244142013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7423794 + ... + 7439166.

It is an arithmetic number, because the mean of its divisors is an integer number (1701901800).

Almost surely, 2^114244142040 is an apocalyptic number.

114244142040 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 114244142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217843430400).

114244142040 is an abundant number, since it is smaller than the sum of its proper divisors (321442718760).

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

114244142040 is a wasteful number, since it uses less digits than its factorization.

114244142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16383 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114244142040 its reverse (40241442411), we get a palindrome (154485584451).

The spelling of 114244142040 in words is "one hundred fourteen billion, two hundred forty-four million, one hundred forty-two thousand, forty".