4224182760 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 893376000.

The previous prime is 4224182747. The next prime is 4224182789. The reversal of 4224182760 is 672814224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1795585 + ... + 1797935.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4224182760 is an apocalyptic number.

4224182760 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 4224182760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4224182760 is an abundant number, since it is smaller than the sum of its proper divisors (12683122200).

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

4224182760 is a wasteful number, since it uses less digits than its factorization.

4224182760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4224182760 is about 64993.7132344352. The cubic root of 4224182760 is about 1616.5193215814.

Adding to 4224182760 its reverse (672814224), we get a palindrome (4896996984).

The spelling of 4224182760 in words is "four billion, two hundred twenty-four million, one hundred eighty-two thousand, seven hundred sixty".