4300133224200 has 384 divisors, whose sum is σ = 14629182422400. Its totient is φ = 1036241920000.

The previous prime is 4300133224199. The next prime is 4300133224201. The reversal of 4300133224200 is 24223310034.

It is an interprime number because it is at equal distance from previous prime (4300133224199) and next prime (4300133224201).

It is a super-3 number, since 3×4300133224200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4300133224201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1077995806 + ... + 1077999794.

It is an arithmetic number, because the mean of its divisors is an integer number (38096829225).

Almost surely, 2^{4300133224200} is an apocalyptic number.

4300133224200 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 4300133224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314591211200).

4300133224200 is an abundant number, since it is smaller than the sum of its proper divisors (10329049198200).

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

4300133224200 is a wasteful number, since it uses less digits than its factorization.

4300133224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4300133224200 its reverse (24223310034), we get a palindrome (4324356534234).

The spelling of 4300133224200 in words is "four trillion, three hundred billion, one hundred thirty-three million, two hundred twenty-four thousand, two hundred".