14040004200 has 96 divisors (see below), whose sum is σ = 46084282560. Its totient is φ = 3523763200.

The previous prime is 14040004189. The next prime is 14040004337. The reversal of 14040004200 is 240004041.

14040004200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14040004200.

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 23 ways as a sum of consecutive naturals, for example, 678036 + ... + 698435.

It is an arithmetic number, because the mean of its divisors is an integer number (480044610).

Almost surely, 2^14040004200 is an apocalyptic number.

14040004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14040004200 is an abundant number, since it is smaller than the sum of its proper divisors (32044278360).

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

14040004200 is a wasteful number, since it uses less digits than its factorization.

14040004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376507 (or 1376498 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 14040004200 its reverse (240004041), we get a palindrome (14280008241).

The spelling of 14040004200 in words is "fourteen billion, forty million, four thousand, two hundred".