320404442020 has 192 divisors, whose sum is σ = 745374389760. Its totient is φ = 114973286400.

The previous prime is 320404441993. The next prime is 320404442021. The reversal of 320404442020 is 20244404023.

It is a super-3 number, since 3×320404442020³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (320404442021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561128335 + ... + 561128905.

It is an arithmetic number, because the mean of its divisors is an integer number (3882158280).

Almost surely, 2^320404442020 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 320404442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372687194880).

320404442020 is an abundant number, since it is smaller than the sum of its proper divisors (424969947740).

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

320404442020 is a wasteful number, since it uses less digits than its factorization.

320404442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 320404442020 its reverse (20244404023), we get a palindrome (340648846043).

The spelling of 320404442020 in words is "three hundred twenty billion, four hundred four million, four hundred forty-two thousand, twenty".