4282442824 has 64 divisors (see below), whose sum is σ = 9014172480. Its totient is φ = 1890720000.

The previous prime is 4282442821. The next prime is 4282442831.

It is a happy number.

4282442824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4282442821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466519 + ... + 475609.

It is an arithmetic number, because the mean of its divisors is an integer number (140846445).

Almost surely, 2^4282442824 is an apocalyptic number.

4282442824 is a gapful number since it is divisible by the number (44) 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 4282442824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507086240).

4282442824 is an abundant number, since it is smaller than the sum of its proper divisors (4731729656).

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

4282442824 is a wasteful number, since it uses less digits than its factorization.

4282442824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9258 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 4282442824 is about 65440.3760991637. The cubic root of 4282442824 is about 1623.9171103560.

The spelling of 4282442824 in words is "four billion, two hundred eighty-two million, four hundred forty-two thousand, eight hundred twenty-four".