144134331431424 has 640 divisors, whose sum is σ = 406335332874240. Its totient is φ = 45343781683200.

The previous prime is 144134331431381. The next prime is 144134331431443. The reversal of 144134331431424 is 424134133431441.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214166911152 + ... + 214166911824.

It is an arithmetic number, because the mean of its divisors is an integer number (634898957616).

Almost surely, 2^{144134331431424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144134331431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203167666437120).

144134331431424 is an abundant number, since it is smaller than the sum of its proper divisors (262201001442816).

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

144134331431424 is an equidigital number, since it uses as much as digits as its factorization.

144134331431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

Adding to 144134331431424 its reverse (424134133431441), we get a palindrome (568268464862865).

The spelling of 144134331431424 in words is "one hundred forty-four trillion, one hundred thirty-four billion, three hundred thirty-one million, four hundred thirty-one thousand, four hundred twenty-four".