14311324415440 has 160 divisors (see below), whose sum is σ = 37075307028480. Its totient is φ = 5101098412032.

The previous prime is 14311324415431. The next prime is 14311324415491. The reversal of 14311324415440 is 4451442311341.

It is a self number, because there is not a number n which added to its sum of digits gives 14311324415440.

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 31 ways as a sum of consecutive naturals, for example, 191991457 + ... + 192065983.

It is an arithmetic number, because the mean of its divisors is an integer number (231720668928).

Almost surely, 2^{14311324415440} is an apocalyptic number.

14311324415440 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 14311324415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537653514240).

14311324415440 is an abundant number, since it is smaller than the sum of its proper divisors (22763982613040).

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

14311324415440 is a wasteful number, since it uses less digits than its factorization.

14311324415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80949 (or 80943 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 14311324415440 its reverse (4451442311341), we get a palindrome (18762766726781).

The spelling of 14311324415440 in words is "fourteen trillion, three hundred eleven billion, three hundred twenty-four million, four hundred fifteen thousand, four hundred forty".