144442242144000 has 576 divisors, whose sum is σ = 533660177756160. Its totient is φ = 38475440640000.

The previous prime is 144442242143993. The next prime is 144442242144001. The reversal of 144442242144000 is 441242244441.

144442242144000 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 242 + 1 + 4 + 400 + 0 = 666.

144442242144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×144442242144000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442242144001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787012245 + ... + 787195755.

It is an arithmetic number, because the mean of its divisors is an integer number (926493364160).

Almost surely, 2^{144442242144000} is an apocalyptic number.

144442242144000 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 144442242144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266830088878080).

144442242144000 is an abundant number, since it is smaller than the sum of its proper divisors (389217935612160).

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

144442242144000 is an equidigital number, since it uses as much as digits as its factorization.

144442242144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184462 (or 184432 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 144442242144000 its reverse (441242244441), we get a palindrome (144883484388441).

The spelling of 144442242144000 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred forty-two million, one hundred forty-four thousand".