140414101042041 has 12 divisors (see below), whose sum is σ = 214750978064532. Its totient is φ = 88102965359616.

The previous prime is 140414101042031. The next prime is 140414101042051. The reversal of 140414101042041 is 140240101414041.

140414101042041 is a `hidden beast` number, since 1 + 4 + 0 + 41 + 410 + 1 + 0 + 4 + 204 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (140414101042031) and next prime (140414101042051).

It can be written as a sum of positive squares in 2 ways, for example, as 111767628024441 + 28646473017600 = 10572021^2 + 5352240^2 .

It is not a de Polignac number, because 140414101042041 - 2⁵ = 140414101042009 is a prime.

It is a super-2 number, since 2×140414101042041² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140414101041996 and 140414101042014.

It is not an unprimeable number, because it can be changed into a prime (140414101042021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458869611096 + ... + 458869611401.

It is an arithmetic number, because the mean of its divisors is an integer number (17895914838711).

Almost surely, 2^{140414101042041} is an apocalyptic number.

It is an amenable number.

140414101042041 is a deficient number, since it is larger than the sum of its proper divisors (74336877022491).

140414101042041 is a wasteful number, since it uses less digits than its factorization.

140414101042041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917739222520 (or 917739222517 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 140414101042041 its reverse (140240101414041), we get a palindrome (280654202456082).

The spelling of 140414101042041 in words is "one hundred forty trillion, four hundred fourteen billion, one hundred one million, forty-two thousand, forty-one".