14141406800 has 60 divisors (see below), whose sum is σ = 33986799036. Its totient is φ = 5654553600.

The previous prime is 14141406787. The next prime is 14141406863. The reversal of 14141406800 is 860414141.

14141406800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3340377616 + 10801029184 = 57796^2 + 103928^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1700252 + ... + 1708548.

Almost surely, 2^14141406800 is an apocalyptic number.

14141406800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141406800 is an abundant number, since it is smaller than the sum of its proper divisors (19845392236).

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

14141406800 is a wasteful number, since it uses less digits than its factorization.

14141406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 14141406800 in words is "fourteen billion, one hundred forty-one million, four hundred six thousand, eight hundred".