14434124144 has 80 divisors (see below), whose sum is σ = 31091995104. Its totient is φ = 6436454400.

The previous prime is 14434124141. The next prime is 14434124147. The reversal of 14434124144 is 44142143441.

It is an interprime number because it is at equal distance from previous prime (14434124141) and next prime (14434124147).

It is a super-3 number, since 3×14434124144³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14434124144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434124141) 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, 2476754 + ... + 2482574.

Almost surely, 2^14434124144 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 14434124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545997552).

14434124144 is an abundant number, since it is smaller than the sum of its proper divisors (16657870960).

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

14434124144 is a wasteful number, since it uses less digits than its factorization.

14434124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6100 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 14434124144 its reverse (44142143441), we get a palindrome (58576267585).

The spelling of 14434124144 in words is "fourteen billion, four hundred thirty-four million, one hundred twenty-four thousand, one hundred forty-four".