4432113312 has 96 divisors (see below), whose sum is σ = 12706896384. Its totient is φ = 1341484800.

The previous prime is 4432113311. The next prime is 4432113353. The reversal of 4432113312 is 2133112344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (4432113311) 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, 1150173 + ... + 1154019.

It is an arithmetic number, because the mean of its divisors is an integer number (132363504).

Almost surely, 2^4432113312 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 4432113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353448192).

4432113312 is an abundant number, since it is smaller than the sum of its proper divisors (8274783072).

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

4432113312 is a wasteful number, since it uses less digits than its factorization.

4432113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4954 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4432113312 is about 66574.1189352139. The cubic root of 4432113312 is about 1642.6194150627.

Adding to 4432113312 its reverse (2133112344), we get a palindrome (6565225656).

The spelling of 4432113312 in words is "four billion, four hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".