41313408049 has 9 divisors (see below), whose sum is σ = 41497357113. Its totient is φ = 41130273492.

The previous prime is 41313408023. The next prime is 41313408083. The reversal of 41313408049 is 94080431314.

The square root of 41313408049 is 203257.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 41313408049 - 2²⁵ = 41279853617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41313407999 and 41313408017.

It is not an unprimeable number, because it can be changed into a prime (41313408649) 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 8 ways as a sum of consecutive naturals, for example, 89229592 + ... + 89230054.

It is an arithmetic number, because the mean of its divisors is an integer number (4610817457).

Almost surely, 2^41313408049 is an apocalyptic number.

41313408049 is the 203257-th square number.

41313408049 is the 101629-th centered octagonal number.

It is an amenable number.

41313408049 is a deficient number, since it is larger than the sum of its proper divisors (183949064).

41313408049 is an frugal number, since it uses more digits than its factorization.

41313408049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 41313408049 in words is "forty-one billion, three hundred thirteen million, four hundred eight thousand, forty-nine".