4002233424 has 160 divisors (see below), whose sum is σ = 12399206400. Its totient is φ = 1088294400.

The previous prime is 4002233401. The next prime is 4002233461. The reversal of 4002233424 is 4243322004.

4002233424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4002233394 and 4002233403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632227 + ... + 638525.

It is an arithmetic number, because the mean of its divisors is an integer number (77495040).

Almost surely, 2^4002233424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199603200).

4002233424 is an abundant number, since it is smaller than the sum of its proper divisors (8396972976).

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

4002233424 is a wasteful number, since it uses less digits than its factorization.

4002233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4002233424 is about 63263.2075064172. The cubic root of 4002233424 is about 1587.6964419647.

Adding to 4002233424 its reverse (4243322004), we get a palindrome (8245555428).

The spelling of 4002233424 in words is "four billion, two million, two hundred thirty-three thousand, four hundred twenty-four".