14431030314240 has 144 divisors (see below), whose sum is σ = 46091604787200. Its totient is φ = 3848065867776.

The previous prime is 14431030314221. The next prime is 14431030314287. The reversal of 14431030314240 is 4241303013441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14431030314198 and 14431030314207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78547606 + ... + 78731114.

It is an arithmetic number, because the mean of its divisors is an integer number (320080588800).

Almost surely, 2^{14431030314240} is an apocalyptic number.

14431030314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431030314240 is an abundant number, since it is smaller than the sum of its proper divisors (31660574472960).

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

14431030314240 is a wasteful number, since it uses less digits than its factorization.

14431030314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204012 (or 203998 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14431030314240 its reverse (4241303013441), we get a palindrome (18672333327681).

The spelling of 14431030314240 in words is "fourteen trillion, four hundred thirty-one billion, thirty million, three hundred fourteen thousand, two hundred forty".