114142241424 has 80 divisors (see below), whose sum is σ = 299395337472. Its totient is φ = 37466169984.

The previous prime is 114142241407. The next prime is 114142241461. The reversal of 114142241424 is 424142241411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114142241391 and 114142241400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176427 + ... + 1269749.

Almost surely, 2^114142241424 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 114142241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149697668736).

114142241424 is an abundant number, since it is smaller than the sum of its proper divisors (185253096048).

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

114142241424 is a wasteful number, since it uses less digits than its factorization.

114142241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93724 (or 93718 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 114142241424 its reverse (424142241411), we get a palindrome (538284482835).

The spelling of 114142241424 in words is "one hundred fourteen billion, one hundred forty-two million, two hundred forty-one thousand, four hundred twenty-four".