42824341020137 has 16 divisors (see below), whose sum is σ = 43508395724112. Its totient is φ = 42145498771200.

The previous prime is 42824341020127. The next prime is 42824341020161. The reversal of 42824341020137 is 73102014342824.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24137922737296 + 18686418282841 = 4913036^2 + 4322779^2 .

It is a cyclic number.

It is not a de Polignac number, because 42824341020137 - 2⁴ = 42824341020121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42824341020094 and 42824341020103.

It is not an unprimeable number, because it can be changed into a prime (42824341020127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75848603 + ... + 76411119.

It is an arithmetic number, because the mean of its divisors is an integer number (2719274732757).

Almost surely, 2^{42824341020137} is an apocalyptic number.

It is an amenable number.

42824341020137 is a deficient number, since it is larger than the sum of its proper divisors (684054703975).

42824341020137 is a wasteful number, since it uses less digits than its factorization.

42824341020137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567148.

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 42824341020137 in words is "forty-two trillion, eight hundred twenty-four billion, three hundred forty-one million, twenty thousand, one hundred thirty-seven".