144441424001340 has 384 divisors, whose sum is σ = 482594390691840. Its totient is φ = 35735016038400.

The previous prime is 144441424001317. The next prime is 144441424001377. The reversal of 144441424001340 is 43100424144441.

144441424001340 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 42 + 40 + 0 + 134 + 0 = 666.

144441424001340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144441424001295 and 144441424001304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4426221664 + ... + 4426254296.

It is an arithmetic number, because the mean of its divisors is an integer number (1256756225760).

Almost surely, 2^{144441424001340} is an apocalyptic number.

144441424001340 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 144441424001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297195345920).

144441424001340 is an abundant number, since it is smaller than the sum of its proper divisors (338152966690500).

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

144441424001340 is a wasteful number, since it uses less digits than its factorization.

144441424001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39530 (or 39522 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144441424001340 its reverse (43100424144441), we get a palindrome (187541848145781).

The spelling of 144441424001340 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred twenty-four million, one thousand, three hundred forty".