4322144000 has 144 divisors (see below), whose sum is σ = 11116874496. Its totient is φ = 1672704000.

The previous prime is 4322143999. The next prime is 4322144003. The reversal of 4322144000 is 4412234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4322144003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 989822 + ... + 994178.

Almost surely, 2^4322144000 is an apocalyptic number.

4322144000 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 4322144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558437248).

4322144000 is an abundant number, since it is smaller than the sum of its proper divisors (6794730496).

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

4322144000 is an equidigital number, since it uses as much as digits as its factorization.

4322144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4322144000 is about 65743.0148380799. The cubic root of 4322144000 is about 1628.9199564786.

Adding to 4322144000 its reverse (4412234), we get a palindrome (4326556234).

The spelling of 4322144000 in words is "four billion, three hundred twenty-two million, one hundred forty-four thousand".