42024442400341 has 8 divisors (see below), whose sum is σ = 42408850492440. Its totient is φ = 41640253788672.

The previous prime is 42024442400321. The next prime is 42024442400393. The reversal of 42024442400341 is 14300424442024.

42024442400341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 438336684900 + 41586105715441 = 662070^2 + 6448729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42024442400341 - 2¹⁷ = 42024442269269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42024442400297 and 42024442400306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024442400321) 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 7 ways as a sum of consecutive naturals, for example, 54485400 + ... + 55251313.

It is an arithmetic number, because the mean of its divisors is an integer number (5301106311555).

Almost surely, 2^{42024442400341} is an apocalyptic number.

It is an amenable number.

42024442400341 is a deficient number, since it is larger than the sum of its proper divisors (384408092099).

42024442400341 is a wasteful number, since it uses less digits than its factorization.

42024442400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109740215.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 42024442400341 its reverse (14300424442024), we get a palindrome (56324866842365).

The spelling of 42024442400341 in words is "forty-two trillion, twenty-four billion, four hundred forty-two million, four hundred thousand, three hundred forty-one".