144441441010020 has 96 divisors (see below), whose sum is σ = 504231939542016. Its totient is φ = 30013805923200.

The previous prime is 144441441009997. The next prime is 144441441010049. The reversal of 144441441010020 is 20010144144441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 144441441010020.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15632185966 + ... + 15632195205.

It is an arithmetic number, because the mean of its divisors is an integer number (5252416036896).

Almost surely, 2^{144441441010020} is an apocalyptic number.

144441441010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441441010020 is an abundant number, since it is smaller than the sum of its proper divisors (359790498531996).

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

144441441010020 is a wasteful number, since it uses less digits than its factorization.

144441441010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31264381201 (or 31264381199 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 144441441010020 its reverse (20010144144441), we get a palindrome (164451585154461).

The spelling of 144441441010020 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred forty-one million, ten thousand, twenty".