4224434331330 has 256 divisors, whose sum is σ = 11437153136640. Its totient is φ = 1109484988416.

The previous prime is 4224434331317. The next prime is 4224434331409. The reversal of 4224434331330 is 331334344224.

4224434331330 is a `hidden beast` number, since 42 + 2 + 443 + 43 + 3 + 133 + 0 = 666.

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, 3076790524 + ... + 3076791896.

It is an arithmetic number, because the mean of its divisors is an integer number (44676379440).

Almost surely, 2^{4224434331330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224434331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718576568320).

4224434331330 is an abundant number, since it is smaller than the sum of its proper divisors (7212718805310).

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

4224434331330 is a wasteful number, since it uses less digits than its factorization.

4224434331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4224434331330 its reverse (331334344224), we get a palindrome (4555768675554).

The spelling of 4224434331330 in words is "four trillion, two hundred twenty-four billion, four hundred thirty-four million, three hundred thirty-one thousand, three hundred thirty".