342225424000 has 256 divisors, whose sum is σ = 871575344640. Its totient is φ = 133575168000.

The previous prime is 342225423997. The next prime is 342225424031. The reversal of 342225424000 is 424522243.

It is a self number, because there is not a number n which added to its sum of digits gives 342225424000.

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 31 ways as a sum of consecutive naturals, for example, 429391602 + ... + 429392398.

It is an arithmetic number, because the mean of its divisors is an integer number (3404591190).

Almost surely, 2^342225424000 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 342225424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435787672320).

342225424000 is an abundant number, since it is smaller than the sum of its proper divisors (529349920640).

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

342225424000 is an equidigital number, since it uses as much as digits as its factorization.

342225424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 342225424000 its reverse (424522243), we get a palindrome (342649946243).

The spelling of 342225424000 in words is "three hundred forty-two billion, two hundred twenty-five million, four hundred twenty-four thousand".