42024313144333 has 12 divisors (see below), whose sum is σ = 46126968834100. Its totient is φ = 38059755267456.

The previous prime is 42024313144309. The next prime is 42024313144351. The reversal of 42024313144333 is 33344131342024.

It can be written as a sum of positive squares in 6 ways, for example, as 3772599213124 + 38251713931209 = 1942318^2 + 6184797^2 .

It is not a de Polignac number, because 42024313144333 - 2⁴¹ = 39825289888781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42024313144292 and 42024313144301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024313144633) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 575371008 + ... + 575444041.

Almost surely, 2^{42024313144333} is an apocalyptic number.

It is an amenable number.

42024313144333 is a deficient number, since it is larger than the sum of its proper divisors (4102655689767).

42024313144333 is a wasteful number, since it uses less digits than its factorization.

42024313144333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150815168 (or 1150815115 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 42024313144333 its reverse (33344131342024), we get a palindrome (75368444486357).

The spelling of 42024313144333 in words is "forty-two trillion, twenty-four billion, three hundred thirteen million, one hundred forty-four thousand, three hundred thirty-three".