4445320000000 has 320 divisors, whose sum is σ = 12112928365824. Its totient is φ = 1616320000000.

The previous prime is 4445319999983. The next prime is 4445320000001. The reversal of 4445320000000 is 235444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4445320000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439994949 + ... + 440005051.

Almost surely, 2^{4445320000000} is an apocalyptic number.

4445320000000 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 4445320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056464182912).

4445320000000 is an abundant number, since it is smaller than the sum of its proper divisors (7667608365824).

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

4445320000000 is an frugal number, since it uses more digits than its factorization.

4445320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 4445320000000 its reverse (235444), we get a palindrome (4445320235444).

The spelling of 4445320000000 in words is "four trillion, four hundred forty-five billion, three hundred twenty million", and thus it is an aban number.