14412124144 has 60 divisors (see below), whose sum is σ = 31125351600. Its totient is φ = 6458636800.

The previous prime is 14412124127. The next prime is 14412124147. The reversal of 14412124144 is 44142121441.

It is a super-3 number, since 3×14412124144³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14412124147) 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, 85032 + ... + 189880.

It is an arithmetic number, because the mean of its divisors is an integer number (518755860).

Almost surely, 2^14412124144 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 14412124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562675800).

14412124144 is an abundant number, since it is smaller than the sum of its proper divisors (16713227456).

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

14412124144 is a wasteful number, since it uses less digits than its factorization.

14412124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104950 (or 104933 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 14412124144 its reverse (44142121441), we get a palindrome (58554245585).

The spelling of 14412124144 in words is "fourteen billion, four hundred twelve million, one hundred twenty-four thousand, one hundred forty-four".