4024230144 has 288 divisors, whose sum is σ = 12362112000. Its totient is φ = 1150279680.

The previous prime is 4024230143. The next prime is 4024230151. The reversal of 4024230144 is 4410324204.

It is a happy number.

4024230144 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 not an unprimeable number, because it can be changed into a prime (4024230143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27008182 + ... + 27008330.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^4024230144 is an apocalyptic number.

4024230144 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 4024230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

4024230144 is an abundant number, since it is smaller than the sum of its proper divisors (8337881856).

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

4024230144 is a wasteful number, since it uses less digits than its factorization.

4024230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

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

The square root of 4024230144 is about 63436.8200968491. The cubic root of 4024230144 is about 1590.5998480353.

Adding to 4024230144 its reverse (4410324204), we get a palindrome (8434554348).

The spelling of 4024230144 in words is "four billion, twenty-four million, two hundred thirty thousand, one hundred forty-four".