4204144320 has 112 divisors (see below), whose sum is σ = 13361688288. Its totient is φ = 1119969280.

The previous prime is 4204144253. The next prime is 4204144327. The reversal of 4204144320 is 234414024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4204144327) 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, 1420282 + ... + 1423238.

Almost surely, 2^4204144320 is an apocalyptic number.

4204144320 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 4204144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680844144).

4204144320 is an abundant number, since it is smaller than the sum of its proper divisors (9157543968).

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

4204144320 is a wasteful number, since it uses less digits than its factorization.

4204144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4204144320 is about 64839.3732233741. The cubic root of 4204144320 is about 1613.9591513027.

Adding to 4204144320 its reverse (234414024), we get a palindrome (4438558344).

The spelling of 4204144320 in words is "four billion, two hundred four million, one hundred forty-four thousand, three hundred twenty".