4813344000 has 432 divisors, whose sum is σ = 17990306880. Its totient is φ = 1281484800.

The previous prime is 4813343981. The next prime is 4813344001. The reversal of 4813344000 is 4433184.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813344001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775691 + ... + 7776309.

Almost surely, 2^4813344000 is an apocalyptic number.

4813344000 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 4813344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995153440).

4813344000 is an abundant number, since it is smaller than the sum of its proper divisors (13176962880).

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

4813344000 is an frugal number, since it uses more digits than its factorization.

4813344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4813344000 is about 69378.2674906199. The cubic root of 4813344000 is about 1688.4270461796.

Adding to 4813344000 its reverse (4433184), we get a palindrome (4817777184).

The spelling of 4813344000 in words is "four billion, eight hundred thirteen million, three hundred forty-four thousand".