4444443120 has 160 divisors (see below), whose sum is σ = 14927169600. Its totient is φ = 1093886976.

The previous prime is 4444443077. The next prime is 4444443131. The reversal of 4444443120 is 213444444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523066 + ... + 531494.

It is an arithmetic number, because the mean of its divisors is an integer number (93294810).

Almost surely, 2^4444443120 is an apocalyptic number.

4444443120 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 4444443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463584800).

4444443120 is an abundant number, since it is smaller than the sum of its proper divisors (10482726480).

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

4444443120 is a wasteful number, since it uses less digits than its factorization.

4444443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4444443120 is about 66666.6567333326. The cubic root of 4444443120 is about 1644.1412195689.

Adding to 4444443120 its reverse (213444444), we get a palindrome (4657887564).

The spelling of 4444443120 in words is "four billion, four hundred forty-four million, four hundred forty-three thousand, one hundred twenty".