14441414040 has 48 divisors (see below), whose sum is σ = 46934596800. Its totient is φ = 3851043648.

The previous prime is 14441414003. The next prime is 14441414047. The reversal of 14441414040 is 4041414441.

14441414040 is a `hidden beast` number, since 1 + 444 + 141 + 40 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14441413995 and 14441414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441414047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20057160 + ... + 20057879.

It is an arithmetic number, because the mean of its divisors is an integer number (977804100).

Almost surely, 2^14441414040 is an apocalyptic number.

14441414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441414040 is an abundant number, since it is smaller than the sum of its proper divisors (32493182760).

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

14441414040 is a wasteful number, since it uses less digits than its factorization.

14441414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115056 (or 40115049 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14441414040 its reverse (4041414441), we get a palindrome (18482828481).

The spelling of 14441414040 in words is "fourteen billion, four hundred forty-one million, four hundred fourteen thousand, forty".