10042535443005 has 144 divisors (see below), whose sum is σ = 18946006382160. Its totient is φ = 4918628302848.

The previous prime is 10042535443001. The next prime is 10042535443049. The reversal of 10042535443005 is 50034453524001.

10042535443005 is a `hidden beast` number, since 10 + 0 + 42 + 535 + 44 + 30 + 0 + 5 = 666.

10042535443005 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 24 ways, for example, as 5708835726489 + 4333699716516 = 2389317^2 + 2081754^2 .

It is not a de Polignac number, because 10042535443005 - 2² = 10042535443001 is a prime.

It is a super-3 number, since 3×10042535443005³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042535443001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3701633529 + ... + 3701636241.

It is an arithmetic number, because the mean of its divisors is an integer number (131569488765).

Almost surely, 2^{10042535443005} is an apocalyptic number.

10042535443005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042535443005 is a deficient number, since it is larger than the sum of its proper divisors (8903470939155).

10042535443005 is a wasteful number, since it uses less digits than its factorization.

10042535443005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10042535443005 its reverse (50034453524001), we get a palindrome (60076988967006).

The spelling of 10042535443005 in words is "ten trillion, forty-two billion, five hundred thirty-five million, four hundred forty-three thousand, five".