41006406105 has 48 divisors (see below), whose sum is σ = 81268012800. Its totient is φ = 18737414784.

The previous prime is 41006406097. The next prime is 41006406173. The reversal of 41006406105 is 50160460014.

41006406105 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 6 + 40 + 610 + 5 = 666.

It is not a de Polignac number, because 41006406105 - 2³ = 41006406097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706996 + ... + 762794.

It is an arithmetic number, because the mean of its divisors is an integer number (1693083600).

Almost surely, 2^41006406105 is an apocalyptic number.

41006406105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41006406105 is a deficient number, since it is larger than the sum of its proper divisors (40261606695).

41006406105 is a wasteful number, since it uses less digits than its factorization.

41006406105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58150 (or 58147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41006406105 its reverse (50160460014), we get a palindrome (91166866119).

The spelling of 41006406105 in words is "forty-one billion, six million, four hundred six thousand, one hundred five".