4432113200 has 120 divisors (see below), whose sum is σ = 10968131328. Its totient is φ = 1720131840.

The previous prime is 4432113199. The next prime is 4432113247. The reversal of 4432113200 is 23112344.

It is a super-2 number, since 2×4432113200² = 39287254835228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2871629 + ... + 2873171.

Almost surely, 2^4432113200 is an apocalyptic number.

4432113200 is a gapful number since it is divisible by the number (40) 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 4432113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484065664).

4432113200 is an abundant number, since it is smaller than the sum of its proper divisors (6536018128).

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

4432113200 is a wasteful number, since it uses less digits than its factorization.

4432113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4432113200 is about 66574.1180940461. The cubic root of 4432113200 is about 1642.6194012263.

Adding to 4432113200 its reverse (23112344), we get a palindrome (4455225544).

The spelling of 4432113200 in words is "four billion, four hundred thirty-two million, one hundred thirteen thousand, two hundred".