320242483200 has 192 divisors, whose sum is σ = 1058927112720. Its totient is φ = 85397340160.

The previous prime is 320242483151. The next prime is 320242483207. The reversal of 320242483200 is 2384242023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×320242483200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (320242483207) 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 11 ways as a sum of consecutive naturals, for example, 2392447 + ... + 2522753.

Almost surely, 2^320242483200 is an apocalyptic number.

320242483200 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 320242483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529463556360).

320242483200 is an abundant number, since it is smaller than the sum of its proper divisors (738684629520).

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

320242483200 is an equidigital number, since it uses as much as digits as its factorization.

320242483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130350 (or 130317 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 320242483200 in words is "three hundred twenty billion, two hundred forty-two million, four hundred eighty-three thousand, two hundred".