4430223211200 has 168 divisors, whose sum is σ = 14587300652112. Its totient is φ = 1177127546880.

The previous prime is 4430223211111. The next prime is 4430223211213. The reversal of 4430223211200 is 21123220344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336399 + ... + 2995598.

Almost surely, 2^{4430223211200} is an apocalyptic number.

4430223211200 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 4430223211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293650326056).

4430223211200 is an abundant number, since it is smaller than the sum of its proper divisors (10157077440912).

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

4430223211200 is a wasteful number, since it uses less digits than its factorization.

4430223211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332299 (or 3332284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4430223211200 its reverse (21123220344), we get a palindrome (4451346431544).

The spelling of 4430223211200 in words is "four trillion, four hundred thirty billion, two hundred twenty-three million, two hundred eleven thousand, two hundred".