144320242011440 has 160 divisors (see below), whose sum is σ = 378941746176000. Its totient is φ = 50634198236160.

The previous prime is 144320242011437. The next prime is 144320242011493. The reversal of 144320242011440 is 44110242023441.

It is a super-2 number, since 2×144320242011440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144320242011397 and 144320242011406.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33681329 + ... + 37723631.

It is an arithmetic number, because the mean of its divisors is an integer number (2368385913600).

Almost surely, 2^{144320242011440} is an apocalyptic number.

144320242011440 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 144320242011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189470873088000).

144320242011440 is an abundant number, since it is smaller than the sum of its proper divisors (234621504164560).

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

144320242011440 is a wasteful number, since it uses less digits than its factorization.

144320242011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043755 (or 4043749 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144320242011440 its reverse (44110242023441), we get a palindrome (188430484034881).

The spelling of 144320242011440 in words is "one hundred forty-four trillion, three hundred twenty billion, two hundred forty-two million, eleven thousand, four hundred forty".