4320223033200 has 240 divisors, whose sum is σ = 13882858627680. Its totient is φ = 1148422717440.

The previous prime is 4320223033163. The next prime is 4320223033201. The reversal of 4320223033200 is 23303220234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320223033201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775760016 + ... + 775765584.

It is an arithmetic number, because the mean of its divisors is an integer number (57845244282).

Almost surely, 2^{4320223033200} is an apocalyptic number.

4320223033200 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 4320223033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941429313840).

4320223033200 is an abundant number, since it is smaller than the sum of its proper divisors (9562635594480).

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

4320223033200 is a wasteful number, since it uses less digits than its factorization.

4320223033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 4320223033200 its reverse (23303220234), we get a palindrome (4343526253434).

The spelling of 4320223033200 in words is "four trillion, three hundred twenty billion, two hundred twenty-three million, thirty-three thousand, two hundred".