4330242400 has 144 divisors (see below), whose sum is σ = 11582258688. Its totient is φ = 1567808000.

The previous prime is 4330242383. The next prime is 4330242403. The reversal of 4330242400 is 42420334.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330242403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313465 + ... + 2315335.

It is an arithmetic number, because the mean of its divisors is an integer number (80432352).

Almost surely, 2^4330242400 is an apocalyptic number.

4330242400 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 4330242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791129344).

4330242400 is an abundant number, since it is smaller than the sum of its proper divisors (7252016288).

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

4330242400 is a wasteful number, since it uses less digits than its factorization.

4330242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4330242400 is about 65804.5773483882. The cubic root of 4330242400 is about 1629.9366906797.

Adding to 4330242400 its reverse (42420334), we get a palindrome (4372662734).

The spelling of 4330242400 in words is "four billion, three hundred thirty million, two hundred forty-two thousand, four hundred".