320421224420 has 96 divisors (see below), whose sum is σ = 750690533376. Its totient is φ = 113883120000.

The previous prime is 320421224413. The next prime is 320421224437. The reversal of 320421224420 is 24422124023.

It is a super-2 number, since 2×320421224420² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320421224420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7744709 + ... + 7785971.

It is an arithmetic number, because the mean of its divisors is an integer number (7819693056).

Almost surely, 2^320421224420 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 320421224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375345266688).

320421224420 is an abundant number, since it is smaller than the sum of its proper divisors (430269308956).

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

320421224420 is a wasteful number, since it uses less digits than its factorization.

320421224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42081 (or 42079 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 320421224420 its reverse (24422124023), we get a palindrome (344843348443).

The spelling of 320421224420 in words is "three hundred twenty billion, four hundred twenty-one million, two hundred twenty-four thousand, four hundred twenty".