144044042333412 has 96 divisors (see below), whose sum is σ = 365380117788672. Its totient is φ = 43902156894336.

The previous prime is 144044042333381. The next prime is 144044042333459. The reversal of 144044042333412 is 214333240440441.

It is a happy number.

144044042333412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×144044042333412³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 151473283 + ... + 152421269.

It is an arithmetic number, because the mean of its divisors is an integer number (3806042893632).

Almost surely, 2^{144044042333412} is an apocalyptic number.

144044042333412 is a gapful number since it is divisible by the number (12) 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 144044042333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182690058894336).

144044042333412 is an abundant number, since it is smaller than the sum of its proper divisors (221336075455260).

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

144044042333412 is a wasteful number, since it uses less digits than its factorization.

144044042333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957217 (or 957215 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 144044042333412 its reverse (214333240440441), we get a palindrome (358377282773853).

The spelling of 144044042333412 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, three hundred thirty-three thousand, four hundred twelve".