4234441344320 has 224 divisors, whose sum is σ = 11686777272576. Its totient is φ = 1444268441600.

The previous prime is 4234441344319. The next prime is 4234441344379. The reversal of 4234441344320 is 234431444324.

4234441344320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17412365 + ... + 17653875.

It is an arithmetic number, because the mean of its divisors is an integer number (52173112824).

Almost surely, 2^{4234441344320} is an apocalyptic number.

4234441344320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234441344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843388636288).

4234441344320 is an abundant number, since it is smaller than the sum of its proper divisors (7452335928256).

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

4234441344320 is a wasteful number, since it uses less digits than its factorization.

4234441344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241849 (or 241839 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 4234441344320 its reverse (234431444324), we get a palindrome (4468872788644).

The spelling of 4234441344320 in words is "four trillion, two hundred thirty-four billion, four hundred forty-one million, three hundred forty-four thousand, three hundred twenty".