14301424440400 has 60 divisors (see below), whose sum is σ = 36380300012892. Its totient is φ = 5384065669120.

The previous prime is 14301424440343. The next prime is 14301424440431. The reversal of 14301424440400 is 404442410341.

It can be written as a sum of positive squares in 6 ways, for example, as 1825665773584 + 12475758666816 = 1351172^2 + 3532104^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051568527 + ... + 1051582126.

Almost surely, 2^{14301424440400} is an apocalyptic number.

14301424440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301424440400 is an abundant number, since it is smaller than the sum of its proper divisors (22078875572492).

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

14301424440400 is a wasteful number, since it uses less digits than its factorization.

14301424440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103150688 (or 2103150677 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 14301424440400 its reverse (404442410341), we get a palindrome (14705866850741).

The spelling of 14301424440400 in words is "fourteen trillion, three hundred one billion, four hundred twenty-four million, four hundred forty thousand, four hundred".