320342013200 has 120 divisors (see below), whose sum is σ = 845629105440. Its totient is φ = 115649740800.

The previous prime is 320342013163. The next prime is 320342013217. The reversal of 320342013200 is 2310243023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349712 + ... + 873488.

It is an arithmetic number, because the mean of its divisors is an integer number (7046909212).

Almost surely, 2^320342013200 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 320342013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422814552720).

320342013200 is an abundant number, since it is smaller than the sum of its proper divisors (525287092240).

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

320342013200 is a wasteful number, since it uses less digits than its factorization.

320342013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523945 (or 523934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 320342013200 its reverse (2310243023), we get a palindrome (322652256223).

The spelling of 320342013200 in words is "three hundred twenty billion, three hundred forty-two million, thirteen thousand, two hundred".