4441204332320 has 192 divisors, whose sum is σ = 12063002112000. Its totient is φ = 1513613230080.

The previous prime is 4441204332293. The next prime is 4441204332337. The reversal of 4441204332320 is 232334021444.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 135258305 + ... + 135291135.

It is an arithmetic number, because the mean of its divisors is an integer number (62828136000).

Almost surely, 2^{4441204332320} is an apocalyptic number.

4441204332320 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 4441204332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031501056000).

4441204332320 is an abundant number, since it is smaller than the sum of its proper divisors (7621797779680).

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

4441204332320 is a wasteful number, since it uses less digits than its factorization.

4441204332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33571 (or 33563 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4441204332320 its reverse (232334021444), we get a palindrome (4673538353764).

The spelling of 4441204332320 in words is "four trillion, four hundred forty-one billion, two hundred four million, three hundred thirty-two thousand, three hundred twenty".