144201424000 has 64 divisors (see below), whose sum is σ = 358520830200. Its totient is φ = 57680563200.

The previous prime is 144201423979. The next prime is 144201424057. The reversal of 144201424000 is 424102441.

It can be written as a sum of positive squares in 4 ways, for example, as 16603868736 + 127597555264 = 128856^2 + 357208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4490295 + ... + 4522294.

Almost surely, 2^144201424000 is an apocalyptic number.

144201424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144201424000 is an abundant number, since it is smaller than the sum of its proper divisors (214319406200).

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

144201424000 is an frugal number, since it uses more digits than its factorization.

144201424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012618 (or 9012596 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 144201424000 its reverse (424102441), we get a palindrome (144625526441).

The spelling of 144201424000 in words is "one hundred forty-four billion, two hundred one million, four hundred twenty-four thousand".