4321224000 has 168 divisors, whose sum is σ = 15457996008. Its totient is φ = 1152307200.

The previous prime is 4321223981. The next prime is 4321224001. The reversal of 4321224000 is 4221234.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 4321221696 = 48^2 + 65736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321224001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41992 + ... + 102008.

It is an arithmetic number, because the mean of its divisors is an integer number (92011881).

Almost surely, 2^4321224000 is an apocalyptic number.

4321224000 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 4321224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728998004).

4321224000 is an abundant number, since it is smaller than the sum of its proper divisors (11136772008).

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

4321224000 is a wasteful number, since it uses less digits than its factorization.

4321224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60050 (or 60027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4321224000 is about 65736.0175246417. The cubic root of 4321224000 is about 1628.8043724303.

Adding to 4321224000 its reverse (4221234), we get a palindrome (4325445234).

The spelling of 4321224000 in words is "four billion, three hundred twenty-one million, two hundred twenty-four thousand".