14141414144 has 144 divisors (see below), whose sum is σ = 33872186880. Its totient is φ = 5806510080.

The previous prime is 14141414141. The next prime is 14141414173. The reversal of 14141414144 is 44141414141.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14141414141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716467 + ... + 1724685.

It is an arithmetic number, because the mean of its divisors is an integer number (235223520).

Almost surely, 2^14141414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936093440).

14141414144 is an abundant number, since it is smaller than the sum of its proper divisors (19730772736).

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

14141414144 is a wasteful number, since it uses less digits than its factorization.

14141414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8292 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

Adding to 14141414144 its reverse (44141414141), we get a palindrome (58282828285).

The spelling of 14141414144 in words is "fourteen billion, one hundred forty-one million, four hundred fourteen thousand, one hundred forty-four".