4322405760 has 256 divisors, whose sum is σ = 14817254400. Its totient is φ = 1068318720.

The previous prime is 4322405729. The next prime is 4322405803. The reversal of 4322405760 is 675042234.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713300 + ... + 1715820.

It is an arithmetic number, because the mean of its divisors is an integer number (57879900).

Almost surely, 2^4322405760 is an apocalyptic number.

4322405760 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 4322405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408627200).

4322405760 is an abundant number, since it is smaller than the sum of its proper divisors (10494848640).

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

4322405760 is a wasteful number, since it uses less digits than its factorization.

4322405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 4322405760 is about 65745.0055897785. The cubic root of 4322405760 is about 1628.9528396558.

Adding to 4322405760 its reverse (675042234), we get a palindrome (4997447994).

The spelling of 4322405760 in words is "four billion, three hundred twenty-two million, four hundred five thousand, seven hundred sixty".