4444012320 has 192 divisors, whose sum is σ = 15430455936. Its totient is φ = 1066106880.

The previous prime is 4444012319. The next prime is 4444012351. The reversal of 4444012320 is 232104444.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507822 + ... + 516498.

It is an arithmetic number, because the mean of its divisors is an integer number (80366958).

Almost surely, 2^4444012320 is an apocalyptic number.

4444012320 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 4444012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715227968).

4444012320 is an abundant number, since it is smaller than the sum of its proper divisors (10986443616).

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

4444012320 is a wasteful number, since it uses less digits than its factorization.

4444012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4444012320 is about 66663.4256545521. The cubic root of 4444012320 is about 1644.0880956338.

Adding to 4444012320 its reverse (232104444), we get a palindrome (4676116764).

The spelling of 4444012320 in words is "four billion, four hundred forty-four million, twelve thousand, three hundred twenty".