4984224000 has 288 divisors, whose sum is σ = 18922665216. Its totient is φ = 1139097600.

The previous prime is 4984223987. The next prime is 4984224019. The reversal of 4984224000 is 4224894.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668292 + ... + 675708.

Almost surely, 2^4984224000 is an apocalyptic number.

4984224000 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 4984224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461332608).

4984224000 is an abundant number, since it is smaller than the sum of its proper divisors (13938441216).

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

4984224000 is an equidigital number, since it uses as much as digits as its factorization.

4984224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4984224000 is about 70599.0368206253. The cubic root of 4984224000 is about 1708.1756131739.

Adding to 4984224000 its reverse (4224894), we get a palindrome (4988448894).

The spelling of 4984224000 in words is "four billion, nine hundred eighty-four million, two hundred twenty-four thousand".