320021440000 has 200 divisors, whose sum is σ = 808710348600. Its totient is φ = 126455808000.

The previous prime is 320021439919. The next prime is 320021440007. The reversal of 320021440000 is 44120023.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320021440007) 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, 26553976 + ... + 26566024.

It is an arithmetic number, because the mean of its divisors is an integer number (4043551743).

Almost surely, 2^320021440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320021440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404355174300).

320021440000 is an abundant number, since it is smaller than the sum of its proper divisors (488688908600).

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

320021440000 is an frugal number, since it uses more digits than its factorization.

320021440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170 (or 12139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 320021440000 its reverse (44120023), we get a palindrome (320065560023).

The spelling of 320021440000 in words is "three hundred twenty billion, twenty-one million, four hundred forty thousand".