4324114400 has 144 divisors (see below), whose sum is σ = 10862835984. Its totient is φ = 1679892480.

The previous prime is 4324114331. The next prime is 4324114427. The reversal of 4324114400 is 44114234.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11592614 + ... + 11592986.

It is an arithmetic number, because the mean of its divisors is an integer number (75436361).

Almost surely, 2^4324114400 is an apocalyptic number.

4324114400 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 4324114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431417992).

4324114400 is an abundant number, since it is smaller than the sum of its proper divisors (6538721584).

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

4324114400 is a wasteful number, since it uses less digits than its factorization.

4324114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4324114400 is about 65757.9987530034. The cubic root of 4324114400 is about 1629.1674521865.

Adding to 4324114400 its reverse (44114234), we get a palindrome (4368228634).

The spelling of 4324114400 in words is "four billion, three hundred twenty-four million, one hundred fourteen thousand, four hundred".