41166229104 has 640 divisors, whose sum is σ = 165589401600. Its totient is φ = 9438612480.

The previous prime is 41166229099. The next prime is 41166229151. The reversal of 41166229104 is 40192266114.

41166229104 is a `hidden beast` number, since 4 + 1 + 16 + 622 + 9 + 10 + 4 = 666.

41166229104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9943867 + ... + 9948005.

It is an arithmetic number, because the mean of its divisors is an integer number (258733440).

Almost surely, 2^41166229104 is an apocalyptic number.

41166229104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41166229104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82794700800).

41166229104 is an abundant number, since it is smaller than the sum of its proper divisors (124423172496).

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

41166229104 is a wasteful number, since it uses less digits than its factorization.

41166229104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41166229104 in words is "forty-one billion, one hundred sixty-six million, two hundred twenty-nine thousand, one hundred four".