144241411020000 has 960 divisors, whose sum is σ = 548676965168640. Its totient is φ = 32485957632000.

The previous prime is 144241411019947. The next prime is 144241411020023. The reversal of 144241411020000 is 20114142441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46695178456 + ... + 46695181544.

It is an arithmetic number, because the mean of its divisors is an integer number (571538505384).

Almost surely, 2^{144241411020000} is an apocalyptic number.

144241411020000 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 144241411020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274338482584320).

144241411020000 is an abundant number, since it is smaller than the sum of its proper divisors (404435554148640).

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

144241411020000 is a wasteful number, since it uses less digits than its factorization.

144241411020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144241411020000 its reverse (20114142441), we get a palindrome (144261525162441).

The spelling of 144241411020000 in words is "one hundred forty-four trillion, two hundred forty-one billion, four hundred eleven million, twenty thousand".