144442014004020 has 192 divisors, whose sum is σ = 435981220899840. Its totient is φ = 35601650122752.

The previous prime is 144442014004009. The next prime is 144442014004051. The reversal of 144442014004020 is 20400410244441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6814789 + ... + 18311891.

It is an arithmetic number, because the mean of its divisors is an integer number (2270735525520).

Almost surely, 2^{144442014004020} is an apocalyptic number.

144442014004020 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 144442014004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217990610449920).

144442014004020 is an abundant number, since it is smaller than the sum of its proper divisors (291539206895820).

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

144442014004020 is a wasteful number, since it uses less digits than its factorization.

144442014004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497354 (or 11497352 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 144442014004020 its reverse (20400410244441), we get a palindrome (164842424248461).

The spelling of 144442014004020 in words is "one hundred forty-four trillion, four hundred forty-two billion, fourteen million, four thousand, twenty".