330044122010420 has 192 divisors, whose sum is σ = 747681127345152. Its totient is φ = 121922291712000.

The previous prime is 330044122010389. The next prime is 330044122010461. The reversal of 330044122010420 is 24010221440033.

It is a self number, because there is not a number n which added to its sum of digits gives 330044122010420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27478482215 + ... + 27478494225.

It is an arithmetic number, because the mean of its divisors is an integer number (3894172538256).

Almost surely, 2^{330044122010420} 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 330044122010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373840563672576).

330044122010420 is an abundant number, since it is smaller than the sum of its proper divisors (417637005334732).

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

330044122010420 is a wasteful number, since it uses less digits than its factorization.

330044122010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 330044122010420 its reverse (24010221440033), we get a palindrome (354054343450453).

The spelling of 330044122010420 in words is "three hundred thirty trillion, forty-four billion, one hundred twenty-two million, ten thousand, four hundred twenty".