144113021441004 has 288 divisors, whose sum is σ = 444700176560640. Its totient is φ = 35457549050880.

The previous prime is 144113021440991. The next prime is 144113021441009. The reversal of 144113021441004 is 400144120311441.

It is not an unprimeable number, because it can be changed into a prime (144113021441009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1771412392 + ... + 1771493744.

It is an arithmetic number, because the mean of its divisors is an integer number (1544097835280).

Almost surely, 2^{144113021441004} is an apocalyptic number.

144113021441004 is a gapful number since it is divisible by the number (14) 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 144113021441004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222350088280320).

144113021441004 is an abundant number, since it is smaller than the sum of its proper divisors (300587155119636).

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

144113021441004 is a wasteful number, since it uses less digits than its factorization.

144113021441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90581 (or 90568 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 144113021441004 its reverse (400144120311441), we get a palindrome (544257141752445).

The spelling of 144113021441004 in words is "one hundred forty-four trillion, one hundred thirteen billion, twenty-one million, four hundred forty-one thousand, four".