41540958961 has 8 divisors (see below), whose sum is σ = 42557322024. Its totient is φ = 40524746880.

The previous prime is 41540958931. The next prime is 41540958989. The reversal of 41540958961 is 16985904514.

It can be written as a sum of positive squares in 4 ways, for example, as 4876368561 + 36664590400 = 69831^2 + 191480^2 .

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 41540958961 - 2⁹ = 41540958449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41540958899 and 41540958908.

It is not an unprimeable number, because it can be changed into a prime (41540958931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687571 + ... + 745543.

It is an arithmetic number, because the mean of its divisors is an integer number (5319665253).

Almost surely, 2^41540958961 is an apocalyptic number.

41540958961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41540958961 is a deficient number, since it is larger than the sum of its proper divisors (1016363063).

41540958961 is a wasteful number, since it uses less digits than its factorization.

41540958961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75491.

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 41540958961 in words is "forty-one billion, five hundred forty million, nine hundred fifty-eight thousand, nine hundred sixty-one".