4416332544 has 432 divisors, whose sum is σ = 14666043392. Its totient is φ = 1316818944.

The previous prime is 4416332519. The next prime is 4416332549. The reversal of 4416332544 is 4452336144.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 4416332499 and 4416332508.

It is not an unprimeable number, because it can be changed into a prime (4416332549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34774209 + ... + 34774335.

Almost surely, 2^4416332544 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 4416332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333021696).

4416332544 is an abundant number, since it is smaller than the sum of its proper divisors (10249710848).

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

4416332544 is a wasteful number, since it uses less digits than its factorization.

4416332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 4416332544 is about 66455.4929558122. The cubic root of 4416332544 is about 1640.6675529469.

Adding to 4416332544 its reverse (4452336144), we get a palindrome (8868668688).

The spelling of 4416332544 in words is "four billion, four hundred sixteen million, three hundred thirty-two thousand, five hundred forty-four".