4434320320000 has 200 divisors, whose sum is σ = 11654153695800. Its totient is φ = 1680371712000.

The previous prime is 4434320319899. The next prime is 4434320320007. The reversal of 4434320320000 is 230234344.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434320320007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5715336 + ... + 6444664.

It is an arithmetic number, because the mean of its divisors is an integer number (58270768479).

Almost surely, 2^{4434320320000} is an apocalyptic number.

4434320320000 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 4434320320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827076847900).

4434320320000 is an abundant number, since it is smaller than the sum of its proper divisors (7219833375800).

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

4434320320000 is an frugal number, since it uses more digits than its factorization.

4434320320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729386 (or 729355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 4434320320000 its reverse (230234344), we get a palindrome (4434550554344).

The spelling of 4434320320000 in words is "four trillion, four hundred thirty-four billion, three hundred twenty million, three hundred twenty thousand".