10000040041 has 8 divisors (see below), whose sum is σ = 10088549064. Its totient is φ = 9911756160.

The previous prime is 10000040021. The next prime is 10000040051. The reversal of 10000040041 is 14004000001.

10000040041 is digitally balanced in base 3, 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 3599400025 + 6400640016 = 59995^2 + 80004^2 .

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 10000040041 - 2⁵ = 10000040009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000040021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33571 + ... + 145351.

It is an arithmetic number, because the mean of its divisors is an integer number (1261068633).

Almost surely, 2^10000040041 is an apocalyptic number.

It is an amenable number.

10000040041 is a deficient number, since it is larger than the sum of its proper divisors (88509023).

10000040041 is a wasteful number, since it uses less digits than its factorization.

10000040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112571.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000040041 its reverse (14004000001), we get a palindrome (24004040042).

It can be divided in two parts, 100000 and 40041, that added together give a palindrome (140041).

The spelling of 10000040041 in words is "ten billion, forty thousand, forty-one".