144322030114320 has 640 divisors, whose sum is σ = 479027640268800. Its totient is φ = 35887032631296.

The previous prime is 144322030114277. The next prime is 144322030114393. The reversal of 144322030114320 is 23411030223441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4839920371 + ... + 4839950189.

It is an arithmetic number, because the mean of its divisors is an integer number (748480687920).

Almost surely, 2^{144322030114320} is an apocalyptic number.

144322030114320 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 144322030114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239513820134400).

144322030114320 is an abundant number, since it is smaller than the sum of its proper divisors (334705610154480).

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

144322030114320 is a wasteful number, since it uses less digits than its factorization.

144322030114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30135 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144322030114320 its reverse (23411030223441), we get a palindrome (167733060337761).

It can be divided in two parts, 1443220 and 30114320, that added together give a triangular number (31557540 = T₇₉₄₄).

The spelling of 144322030114320 in words is "one hundred forty-four trillion, three hundred twenty-two billion, thirty million, one hundred fourteen thousand, three hundred twenty".