14403442400 has 72 divisors (see below), whose sum is σ = 35186419800. Its totient is φ = 5757442560.

The previous prime is 14403442373. The next prime is 14403442439. The reversal of 14403442400 is 424430441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14403442400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353902 + ... + 1364498.

It is an arithmetic number, because the mean of its divisors is an integer number (488700275).

Almost surely, 2^14403442400 is an apocalyptic number.

14403442400 is a gapful number since it is divisible by the number (10) 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 14403442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593209900).

14403442400 is an abundant number, since it is smaller than the sum of its proper divisors (20782977400).

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

14403442400 is a wasteful number, since it uses less digits than its factorization.

14403442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14403442400 its reverse (424430441), we get a palindrome (14827872841).

The spelling of 14403442400 in words is "fourteen billion, four hundred three million, four hundred forty-two thousand, four hundred".