144321311224040 has 128 divisors (see below), whose sum is σ = 339450614244000. Its totient is φ = 55152341680128.

The previous prime is 144321311224003. The next prime is 144321311224099. The reversal of 144321311224040 is 40422113123441.

It can be written as a sum of positive squares in 16 ways, for example, as 7879147948324 + 136442163275716 = 2806982^2 + 11680846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144321311223988 and 144321311224006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579691106 + ... + 579940014.

Almost surely, 2^{144321311224040} is an apocalyptic number.

144321311224040 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 144321311224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169725307122000).

144321311224040 is an abundant number, since it is smaller than the sum of its proper divisors (195129303019960).

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

144321311224040 is a wasteful number, since it uses less digits than its factorization.

144321311224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254199 (or 254195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144321311224040 its reverse (40422113123441), we get a palindrome (184743424347481).

The spelling of 144321311224040 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred eleven million, two hundred twenty-four thousand, forty".