330042344000000 has 560 divisors, whose sum is σ = 838010413329408. Its totient is φ = 129830400000000.

The previous prime is 330042343999981. The next prime is 330042344000023. The reversal of 330042344000000 is 443240033.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 330042344000000.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 286743999425 + ... + 286744000575.

Almost surely, 2^{330042344000000} 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 330042344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419005206664704).

330042344000000 is an abundant number, since it is smaller than the sum of its proper divisors (507968069329408).

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

330042344000000 is an frugal number, since it uses more digits than its factorization.

330042344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 330042344000000 its reverse (443240033), we get a palindrome (330042787240033).

The spelling of 330042344000000 in words is "three hundred thirty trillion, forty-two billion, three hundred forty-four million", and thus it is an aban number.