14131346400 has 144 divisors (see below), whose sum is σ = 51108447600. Its totient is φ = 3768353280.

The previous prime is 14131346353. The next prime is 14131346401. The reversal of 14131346400 is 464313141.

14131346400 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 13 + 4 + 640 + 0 = 666.

14131346400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131346401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305515 + ... + 348714.

It is an arithmetic number, because the mean of its divisors is an integer number (354919775).

Almost surely, 2^14131346400 is an apocalyptic number.

14131346400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131346400 is an abundant number, since it is smaller than the sum of its proper divisors (36977101200).

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

14131346400 is a wasteful number, since it uses less digits than its factorization.

14131346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654258 (or 654239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14131346400 its reverse (464313141), we get a palindrome (14595659541).

The spelling of 14131346400 in words is "fourteen billion, one hundred thirty-one million, three hundred forty-six thousand, four hundred".