41068160 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 13787136.

The previous prime is 41068081. The next prime is 41068171. The reversal of 41068160 is 6186014.

41068160 = T₈₄₁ + T₈₄₂ + ... + T₉₄₃.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398669 + ... + 398771.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^41068160 is an apocalyptic number.

41068160 is a gapful number since it is divisible by the number (40) 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 41068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

41068160 is an abundant number, since it is smaller than the sum of its proper divisors (73498240).

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

41068160 is a wasteful number, since it uses less digits than its factorization.

41068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 41068160 is about 6408.4444290327. Note that the first 4 decimals coincide. The cubic root of 41068160 is about 345.0126999456.

The spelling of 41068160 in words is "forty-one million, sixty-eight thousand, one hundred sixty".