4322024000 has 224 divisors, whose sum is σ = 12358884096. Its totient is φ = 1466572800.

The previous prime is 4322023997. The next prime is 4322024023. The reversal of 4322024000 is 4202234.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4322024000.

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, 6327659 + ... + 6328341.

Almost surely, 2^4322024000 is an apocalyptic number.

4322024000 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 4322024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179442048).

4322024000 is an abundant number, since it is smaller than the sum of its proper divisors (8036860096).

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

4322024000 is a wasteful number, since it uses less digits than its factorization.

4322024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4322024000 is about 65742.1021872590. The cubic root of 4322024000 is about 1628.9048812286.

Adding to 4322024000 its reverse (4202234), we get a palindrome (4326226234).

The spelling of 4322024000 in words is "four billion, three hundred twenty-two million, twenty-four thousand".