4334241120 has 384 divisors, whose sum is σ = 15950753280. Its totient is φ = 977633280.

The previous prime is 4334241061. The next prime is 4334241127. The reversal of 4334241120 is 211424334.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334241127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9783619 + ... + 9784061.

It is an arithmetic number, because the mean of its divisors is an integer number (41538420).

Almost surely, 2^4334241120 is an apocalyptic number.

4334241120 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 4334241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975376640).

4334241120 is an abundant number, since it is smaller than the sum of its proper divisors (11616512160).

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

4334241120 is a wasteful number, since it uses less digits than its factorization.

4334241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4334241120 is about 65834.9536340689. The cubic root of 4334241120 is about 1630.4382526900.

Adding to 4334241120 its reverse (211424334), we get a palindrome (4545665454).

The spelling of 4334241120 in words is "four billion, three hundred thirty-four million, two hundred forty-one thousand, one hundred twenty".