144311442323440 has 80 divisors (see below), whose sum is σ = 384287910874560. Its totient is φ = 49370880706560.

The previous prime is 144311442323431. The next prime is 144311442323441. The reversal of 144311442323440 is 44323244113441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144311442323393 and 144311442323402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311442323441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279241845 + ... + 279758164.

It is an arithmetic number, because the mean of its divisors is an integer number (4803598885932).

Almost surely, 2^{144311442323440} is an apocalyptic number.

144311442323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311442323440 is an abundant number, since it is smaller than the sum of its proper divisors (239976468551120).

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

144311442323440 is a wasteful number, since it uses less digits than its factorization.

144311442323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559000490 (or 559000484 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 144311442323440 its reverse (44323244113441), we get a palindrome (188634686436881).

The spelling of 144311442323440 in words is "one hundred forty-four trillion, three hundred eleven billion, four hundred forty-two million, three hundred twenty-three thousand, four hundred forty".