14014141800 has 192 divisors, whose sum is σ = 44273952000. Its totient is φ = 3666324480.

The previous prime is 14014141783. The next prime is 14014141829. The reversal of 14014141800 is 814141041.

14014141800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 8199346 + ... + 8201054.

It is an arithmetic number, because the mean of its divisors is an integer number (230593500).

Almost surely, 2^14014141800 is an apocalyptic number.

14014141800 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 14014141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136976000).

14014141800 is an abundant number, since it is smaller than the sum of its proper divisors (30259810200).

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

14014141800 is a wasteful number, since it uses less digits than its factorization.

14014141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14014141800 its reverse (814141041), we get a palindrome (14828282841).

The spelling of 14014141800 in words is "fourteen billion, fourteen million, one hundred forty-one thousand, eight hundred".