144124444100440 has 128 divisors (see below), whose sum is σ = 339216958080000. Its totient is φ = 55006809758208.

The previous prime is 144124444100387. The next prime is 144124444100471. The reversal of 144124444100440 is 44001444421441.

144124444100440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144124444100440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322807086 + ... + 1322916034.

It is an arithmetic number, because the mean of its divisors is an integer number (2650132485000).

Almost surely, 2^{144124444100440} is an apocalyptic number.

144124444100440 is a gapful number since it is divisible by the number (10) 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 144124444100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169608479040000).

144124444100440 is an abundant number, since it is smaller than the sum of its proper divisors (195092513979560).

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

144124444100440 is a wasteful number, since it uses less digits than its factorization.

144124444100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112529 (or 112525 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 37.

Adding to 144124444100440 its reverse (44001444421441), we get a palindrome (188125888521881).

The spelling of 144124444100440 in words is "one hundred forty-four trillion, one hundred twenty-four billion, four hundred forty-four million, one hundred thousand, four hundred forty".