4289229824 has 88 divisors (see below), whose sum is σ = 9447117888. Its totient is φ = 1930199040.

The previous prime is 4289229821. The next prime is 4289229827.

It is a happy number.

4289229824 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4289229821) and next prime (4289229827).

It is a tau number, because it is divible by the number of its divisors (88).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289229821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158344 + ... + 1162040.

Almost surely, 2^4289229824 is an apocalyptic number.

4289229824 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 4289229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723558944).

4289229824 is an abundant number, since it is smaller than the sum of its proper divisors (5157888064).

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

4289229824 is a wasteful number, since it uses less digits than its factorization.

4289229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3813 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 4289229824 is about 65492.2119339391. The cubic root of 4289229824 is about 1624.7745421645.

The spelling of 4289229824 in words is "four billion, two hundred eighty-nine million, two hundred twenty-nine thousand, eight hundred twenty-four".