14403204144 has 240 divisors, whose sum is σ = 49526830080. Its totient is φ = 3815424000.

The previous prime is 14403204139. The next prime is 14403204169. The reversal of 14403204144 is 44140230441.

14403204144 is a `hidden beast` number, since 1 + 440 + 3 + 204 + 14 + 4 = 666.

It is a super-2 number, since 2×14403204144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892144 + ... + 908144.

It is an arithmetic number, because the mean of its divisors is an integer number (206361792).

Almost surely, 2^14403204144 is an apocalyptic number.

14403204144 is a gapful number since it is divisible by the number (14) 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 14403204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763415040).

14403204144 is an abundant number, since it is smaller than the sum of its proper divisors (35123625936).

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

14403204144 is a wasteful number, since it uses less digits than its factorization.

14403204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14403204144 its reverse (44140230441), we get a palindrome (58543434585).

The spelling of 14403204144 in words is "fourteen billion, four hundred three million, two hundred four thousand, one hundred forty-four".