144241400211040 has 192 divisors, whose sum is σ = 382166486856000. Its totient is φ = 50984385085440.

The previous prime is 144241400211037. The next prime is 144241400211113. The reversal of 144241400211040 is 40112004142441.

144241400211040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 66196836 + ... + 68341084.

It is an arithmetic number, because the mean of its divisors is an integer number (1990450452375).

Almost surely, 2^{144241400211040} is an apocalyptic number.

144241400211040 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 144241400211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191083243428000).

144241400211040 is an abundant number, since it is smaller than the sum of its proper divisors (237925086644960).

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

144241400211040 is a wasteful number, since it uses less digits than its factorization.

144241400211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145345 (or 2145337 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144241400211040 its reverse (40112004142441), we get a palindrome (184353404353481).

The spelling of 144241400211040 in words is "one hundred forty-four trillion, two hundred forty-one billion, four hundred million, two hundred eleven thousand, forty".