4223130313200 has 240 divisors, whose sum is σ = 13779841426560. Its totient is φ = 1105404226560.

The previous prime is 4223130313169. The next prime is 4223130313201. The reversal of 4223130313200 is 23130313224.

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 (4223130313201) 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, 13844727 + ... + 14146473.

It is an arithmetic number, because the mean of its divisors is an integer number (57416005944).

Almost surely, 2^{4223130313200} is an apocalyptic number.

4223130313200 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 4223130313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889920713280).

4223130313200 is an abundant number, since it is smaller than the sum of its proper divisors (9556711113360).

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

4223130313200 is a wasteful number, since it uses less digits than its factorization.

4223130313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301984 (or 301973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 4223130313200 its sum of digits (24), we get a palindrome (4223130313224).

Adding to 4223130313200 its reverse (23130313224), we get a palindrome (4246260626424).

The spelling of 4223130313200 in words is "four trillion, two hundred twenty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred".