4312224000 has 1152 divisors, whose sum is σ = 19591004160. Its totient is φ = 912384000.

The previous prime is 4312223989. The next prime is 4312224019. The reversal of 4312224000 is 4222134.

4312224000 is a `hidden beast` number, since 43 + 1 + 222 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139103985 + ... + 139104015.

It is an arithmetic number, because the mean of its divisors is an integer number (17006080).

Almost surely, 2^4312224000 is an apocalyptic number.

4312224000 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 4312224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795502080).

4312224000 is an abundant number, since it is smaller than the sum of its proper divisors (15278780160).

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

4312224000 is a wasteful number, since it uses less digits than its factorization.

4312224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4312224000 is about 65667.5262211087. The cubic root of 4312224000 is about 1627.6727927137.

Adding to 4312224000 its reverse (4222134), we get a palindrome (4316446134).

The spelling of 4312224000 in words is "four billion, three hundred twelve million, two hundred twenty-four thousand".