4422096000 has 768 divisors, whose sum is σ = 18765976320. Its totient is φ = 976896000.

The previous prime is 4422095999. The next prime is 4422096017. The reversal of 4422096000 is 6902244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41327947 + ... + 41328053.

It is an arithmetic number, because the mean of its divisors is an integer number (24434865).

Almost surely, 2^4422096000 is an apocalyptic number.

4422096000 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 4422096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382988160).

4422096000 is an abundant number, since it is smaller than the sum of its proper divisors (14343880320).

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

4422096000 is a wasteful number, since it uses less digits than its factorization.

4422096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4422096000 is about 66498.8420951824. The cubic root of 4422096000 is about 1641.3809506748.

Adding to 4422096000 its reverse (6902244), we get a palindrome (4428998244).

The spelling of 4422096000 in words is "four billion, four hundred twenty-two million, ninety-six thousand".