41106648312 has 128 divisors (see below), whose sum is σ = 121030113600. Its totient is φ = 12882530304.

The previous prime is 41106648293. The next prime is 41106648313. The reversal of 41106648312 is 21384660114.

41106648312 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 6 + 648 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41106648313) 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 31 ways as a sum of consecutive naturals, for example, 3787758 + ... + 3798594.

Almost surely, 2^41106648312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41106648312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60515056800).

41106648312 is an abundant number, since it is smaller than the sum of its proper divisors (79923465288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41106648312 is a wasteful number, since it uses less digits than its factorization.

41106648312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11892 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41106648312 in words is "forty-one billion, one hundred six million, six hundred forty-eight thousand, three hundred twelve".