144520313041440 has 384 divisors, whose sum is σ = 578098039357440. Its totient is φ = 33032255155200.

The previous prime is 144520313041367. The next prime is 144520313041453. The reversal of 144520313041440 is 44140313025441.

It is a happy number.

144520313041440 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 203 + 1 + 3 + 0 + 4 + 1 + 440 = 666.

It is a super-2 number, since 2×144520313041440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144520313041395 and 144520313041404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1916906145 + ... + 1916981535.

It is an arithmetic number, because the mean of its divisors is an integer number (1505463644160).

Almost surely, 2^{144520313041440} is an apocalyptic number.

144520313041440 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 144520313041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289049019678720).

144520313041440 is an abundant number, since it is smaller than the sum of its proper divisors (433577726316000).

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

144520313041440 is a wasteful number, since it uses less digits than its factorization.

144520313041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138813 (or 138799 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 144520313041440 its reverse (44140313025441), we get a palindrome (188660626066881).

The spelling of 144520313041440 in words is "one hundred forty-four trillion, five hundred twenty billion, three hundred thirteen million, forty-one thousand, four hundred forty".