4814424000 has 448 divisors, whose sum is σ = 18258739200. Its totient is φ = 1240704000.

The previous prime is 4814423981. The next prime is 4814424011. The reversal of 4814424000 is 4244184.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695641 + ... + 6696359.

Almost surely, 2^4814424000 is an apocalyptic number.

4814424000 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 4814424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129369600).

4814424000 is an abundant number, since it is smaller than the sum of its proper divisors (13444315200).

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

4814424000 is a wasteful number, since it uses less digits than its factorization.

4814424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4814424000 is about 69386.0504712583. The cubic root of 4814424000 is about 1688.5533177033.

Adding to 4814424000 its reverse (4244184), we get a palindrome (4818668184).

The spelling of 4814424000 in words is "four billion, eight hundred fourteen million, four hundred twenty-four thousand".