4943124000 has 576 divisors, whose sum is σ = 19124737632. Its totient is φ = 1204224000.

The previous prime is 4943123993. The next prime is 4943124019. The reversal of 4943124000 is 4213494.

It can be written as a sum of positive squares in 16 ways, for example, as 3283344 + 4939840656 = 1812^2 + 70284^2 .

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 95 ways as a sum of consecutive naturals, for example, 25091902 + ... + 25092098.

Almost surely, 2^4943124000 is an apocalyptic number.

4943124000 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 4943124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562368816).

4943124000 is an abundant number, since it is smaller than the sum of its proper divisors (14181613632).

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

4943124000 is a wasteful number, since it uses less digits than its factorization.

4943124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4943124000 is about 70307.3538116746. The cubic root of 4943124000 is about 1703.4674325903.

Adding to 4943124000 its reverse (4213494), we get a palindrome (4947337494).

The spelling of 4943124000 in words is "four billion, nine hundred forty-three million, one hundred twenty-four thousand".