144311213323440 has 320 divisors, whose sum is σ = 526425342336000. Its totient is φ = 36260415645696.

The previous prime is 144311213323411. The next prime is 144311213323441. The reversal of 144311213323440 is 44323312113441.

144311213323440 is a `hidden beast` number, since 1 + 4 + 4 + 311 + 2 + 1 + 332 + 3 + 4 + 4 + 0 = 666.

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 = 144311213323395 and 144311213323404.

It is not an unprimeable number, because it can be changed into a prime (144311213323441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18349165 + ... + 25006284.

It is an arithmetic number, because the mean of its divisors is an integer number (1645079194800).

Almost surely, 2^{144311213323440} is an apocalyptic number.

144311213323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311213323440 is an abundant number, since it is smaller than the sum of its proper divisors (382114129012560).

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

144311213323440 is a wasteful number, since it uses less digits than its factorization.

144311213323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43355561 (or 43355549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 144311213323440 its reverse (44323312113441), we get a palindrome (188634525436881).

The spelling of 144311213323440 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, three hundred twenty-three thousand, four hundred forty".