144300130323440 has 320 divisors, whose sum is σ = 417237572586240. Its totient is φ = 45191270891520.

The previous prime is 144300130323421. The next prime is 144300130323443. The reversal of 144300130323440 is 44323031003441.

It is a super-2 number, since 2×144300130323440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144300130323397 and 144300130323406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300130323443) by changing a digit.

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, 7816475810 + ... + 7816494270.

It is an arithmetic number, because the mean of its divisors is an integer number (1303867414332).

Almost surely, 2^{144300130323440} is an apocalyptic number.

144300130323440 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 144300130323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208618786293120).

144300130323440 is an abundant number, since it is smaller than the sum of its proper divisors (272937442262800).

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

144300130323440 is a wasteful number, since it uses less digits than its factorization.

144300130323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29660 (or 29654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 144300130323440 its reverse (44323031003441), we get a palindrome (188623161326881).

The spelling of 144300130323440 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, three hundred twenty-three thousand, four hundred forty".