4844160000 has 495 divisors, whose sum is σ = 18102159361. Its totient is φ = 1247232000.

The previous prime is 4844159977. The next prime is 4844160001. The reversal of 4844160000 is 614484.

The square root of 4844160000 is 69600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3623076864 + 1221083136 = 60192^2 + 34944^2 .

It is a super-2 number, since 2×4844160000² = 46931772211200000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4844160001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 167039986 + ... + 167040014.

Almost surely, 2^4844160000 is an apocalyptic number.

4844160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4844160000 is the 69600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4844160000

4844160000 is an abundant number, since it is smaller than the sum of its proper divisors (13257999361).

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

4844160000 is an equidigital number, since it uses as much as digits as its factorization.

4844160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 4844160000 is about 1692.0226008416.

Adding to 4844160000 its reverse (614484), we get a palindrome (4844774484).

The spelling of 4844160000 in words is "four billion, eight hundred forty-four million, one hundred sixty thousand".