4919840800 has 144 divisors (see below), whose sum is σ = 14534069760. Its totient is φ = 1587548160.

The previous prime is 4919840789. The next prime is 4919840881. The reversal of 4919840800 is 80489194.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69361 + ... + 121039.

It is an arithmetic number, because the mean of its divisors is an integer number (100931040).

Almost surely, 2^4919840800 is an apocalyptic number.

4919840800 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 4919840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267034880).

4919840800 is an abundant number, since it is smaller than the sum of its proper divisors (9614228960).

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

4919840800 is a wasteful number, since it uses less digits than its factorization.

4919840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51723 (or 51710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 4919840800 is about 70141.5768285829. The cubic root of 4919840800 is about 1700.7886536838.

It can be divided in two parts, 49198 and 40800, that added together give a palindrome (89998).

The spelling of 4919840800 in words is "four billion, nine hundred nineteen million, eight hundred forty thousand, eight hundred".