4224531324000 has 768 divisors, whose sum is σ = 15422702690304. Its totient is φ = 1003871232000.

The previous prime is 4224531323981. The next prime is 4224531324001. The reversal of 4224531324000 is 4231354224.

4224531324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224531324001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2645291202 + ... + 2645292798.

It is an arithmetic number, because the mean of its divisors is an integer number (20081644128).

Almost surely, 2^{4224531324000} is an apocalyptic number.

4224531324000 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 4224531324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711351345152).

4224531324000 is an abundant number, since it is smaller than the sum of its proper divisors (11198171366304).

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

4224531324000 is a wasteful number, since it uses less digits than its factorization.

4224531324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 4224531324000 its reverse (4231354224), we get a palindrome (4228762678224).

The spelling of 4224531324000 in words is "four trillion, two hundred twenty-four billion, five hundred thirty-one million, three hundred twenty-four thousand".