144300221124400 has 180 divisors, whose sum is σ = 387647100673992. Its totient is φ = 51192980480000.

The previous prime is 144300221124373. The next prime is 144300221124407. The reversal of 144300221124400 is 4421122003441.

144300221124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144300221124407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2358361 + ... + 17151160.

Almost surely, 2^{144300221124400} is an apocalyptic number.

144300221124400 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 144300221124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193823550336996).

144300221124400 is an abundant number, since it is smaller than the sum of its proper divisors (243346879549592).

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

144300221124400 is a wasteful number, since it uses less digits than its factorization.

144300221124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509632 (or 19509580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144300221124400 its reverse (4421122003441), we get a palindrome (148721343127841).

The spelling of 144300221124400 in words is "one hundred forty-four trillion, three hundred billion, two hundred twenty-one million, one hundred twenty-four thousand, four hundred".