4020221304330 has 256 divisors, whose sum is σ = 12302273986560. Its totient is φ = 816626304000.

The previous prime is 4020221304313. The next prime is 4020221304367. The reversal of 4020221304330 is 334031220204.

4020221304330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4020221304330.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18322432 + ... + 18540548.

It is an arithmetic number, because the mean of its divisors is an integer number (48055757760).

Almost surely, 2^{4020221304330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020221304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151136993280).

4020221304330 is an abundant number, since it is smaller than the sum of its proper divisors (8282052682230).

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

4020221304330 is a wasteful number, since it uses less digits than its factorization.

4020221304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218325.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4020221304330 its reverse (334031220204), we get a palindrome (4354252524534).

The spelling of 4020221304330 in words is "four trillion, twenty billion, two hundred twenty-one million, three hundred four thousand, three hundred thirty".