14304431440 has 80 divisors (see below), whose sum is σ = 35904733200. Its totient is φ = 5268566016.

The previous prime is 14304431437. The next prime is 14304431443. The reversal of 14304431440 is 4413440341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14304431437) and next prime (14304431443).

It can be written as a sum of positive squares in 8 ways, for example, as 529184016 + 13775247424 = 23004^2 + 117368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14304431399 and 14304431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304431443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408546 + ... + 442174.

It is an arithmetic number, because the mean of its divisors is an integer number (448809165).

Almost surely, 2^14304431440 is an apocalyptic number.

14304431440 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 14304431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952366600).

14304431440 is an abundant number, since it is smaller than the sum of its proper divisors (21600301760).

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

14304431440 is a wasteful number, since it uses less digits than its factorization.

14304431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34064 (or 34058 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14304431440 its reverse (4413440341), we get a palindrome (18717871781).

The spelling of 14304431440 in words is "fourteen billion, three hundred four million, four hundred thirty-one thousand, four hundred forty".