14024114431400 has 48 divisors (see below), whose sum is σ = 32608819196640. Its totient is φ = 5609172113600.

The previous prime is 14024114431367. The next prime is 14024114431487. The reversal of 14024114431400 is 413441142041.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 581036 + ... + 5327835.

It is an arithmetic number, because the mean of its divisors is an integer number (679350399930).

Almost surely, 2^{14024114431400} is an apocalyptic number.

14024114431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024114431400 is an abundant number, since it is smaller than the sum of its proper divisors (18584704765240).

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

14024114431400 is a wasteful number, since it uses less digits than its factorization.

14024114431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920754 (or 5920745 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 14024114431400 its reverse (413441142041), we get a palindrome (14437555573441).

The spelling of 14024114431400 in words is "fourteen trillion, twenty-four billion, one hundred fourteen million, four hundred thirty-one thousand, four hundred".