4414434432 has 64 divisors (see below), whose sum is σ = 11747462400. Its totient is φ = 1468765184.

The previous prime is 4414434403. The next prime is 4414434449. The reversal of 4414434432 is 2344344144.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 4414434393 and 4414434402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203569 + ... + 224207.

It is an arithmetic number, because the mean of its divisors is an integer number (183554100).

Almost surely, 2^4414434432 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 4414434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873731200).

4414434432 is an abundant number, since it is smaller than the sum of its proper divisors (7333027968).

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

4414434432 is a wasteful number, since it uses less digits than its factorization.

4414434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21213 (or 21201 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 4414434432 is about 66441.2103441832. The cubic root of 4414434432 is about 1640.4324697267.

Adding to 4414434432 its reverse (2344344144), we get a palindrome (6758778576).

The spelling of 4414434432 in words is "four billion, four hundred fourteen million, four hundred thirty-four thousand, four hundred thirty-two".