320312224320 has 224 divisors, whose sum is σ = 1113874384896. Its totient is φ = 77341440000.

The previous prime is 320312224319. The next prime is 320312224361. The reversal of 320312224320 is 23422213023.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2590137 + ... + 2710983.

It is an arithmetic number, because the mean of its divisors is an integer number (4972653504).

Almost surely, 2^320312224320 is an apocalyptic number.

320312224320 is a gapful number since it is divisible by the number (30) 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 320312224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556937192448).

320312224320 is an abundant number, since it is smaller than the sum of its proper divisors (793562160576).

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

320312224320 is a wasteful number, since it uses less digits than its factorization.

320312224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121129 (or 121119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320312224320 its reverse (23422213023), we get a palindrome (343734437343).

The spelling of 320312224320 in words is "three hundred twenty billion, three hundred twelve million, two hundred twenty-four thousand, three hundred twenty".