114400433424 has 80 divisors (see below), whose sum is σ = 308712241152. Its totient is φ = 36436650624.

The previous prime is 114400433383. The next prime is 114400433429. The reversal of 114400433424 is 424334004411.

It is a junction number, because it is equal to n+sod(n) for n = 114400433391 and 114400433400.

It is not an unprimeable number, because it can be changed into a prime (114400433429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990777 + ... + 1100199.

Almost surely, 2^114400433424 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 114400433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154356120576).

114400433424 is an abundant number, since it is smaller than the sum of its proper divisors (194311807728).

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

114400433424 is a wasteful number, since it uses less digits than its factorization.

114400433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110404 (or 110398 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 114400433424 its reverse (424334004411), we get a palindrome (538734437835).

The spelling of 114400433424 in words is "one hundred fourteen billion, four hundred million, four hundred thirty-three thousand, four hundred twenty-four".