4432116112344 has 96 divisors (see below), whose sum is σ = 12299579969040. Its totient is φ = 1440968140800.

The previous prime is 4432116112339. The next prime is 4432116112357.

It is a happy number.

4432116112344 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 1 + 1 + 611 + 2 + 34 + 4 = 666.

4432116112344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4432116112299 and 4432116112308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11413344 + ... + 11795280.

Almost surely, 2^{4432116112344} 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 4432116112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149789984520).

4432116112344 is an abundant number, since it is smaller than the sum of its proper divisors (7867463856696).

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

4432116112344 is a wasteful number, since it uses less digits than its factorization.

4432116112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385921 (or 385914 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4432116112344 in words is "four trillion, four hundred thirty-two billion, one hundred sixteen million, one hundred twelve thousand, three hundred forty-four".