144314420401 has 16 divisors (see below), whose sum is σ = 156082982400. Its totient is φ = 132911296000.

The previous prime is 144314420377. The next prime is 144314420443. The reversal of 144314420401 is 104024413441.

144314420401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144314420401 - 2¹⁹ = 144313896113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144314420401.

It is not an unprimeable number, because it can be changed into a prime (144314420501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5580900 + ... + 5606698.

It is an arithmetic number, because the mean of its divisors is an integer number (9755186400).

Almost surely, 2^144314420401 is an apocalyptic number.

It is an amenable number.

144314420401 is a deficient number, since it is larger than the sum of its proper divisors (11768561999).

144314420401 is a wasteful number, since it uses less digits than its factorization.

144314420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32864.

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

Adding to 144314420401 its reverse (104024413441), we get a palindrome (248338833842).

The spelling of 144314420401 in words is "one hundred forty-four billion, three hundred fourteen million, four hundred twenty thousand, four hundred one".