40961168 has 40 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 19681920.

The previous prime is 40961161. The next prime is 40961189. The reversal of 40961168 is 86116904.

It is not an unprimeable number, because it can be changed into a prime (40961161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133271 + ... + 133577.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^40961168 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 40961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

40961168 is an abundant number, since it is smaller than the sum of its proper divisors (41533552).

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

40961168 is a wasteful number, since it uses less digits than its factorization.

40961168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 40961168 is about 6400.0912493495. The cubic root of 40961168 is about 344.7128269100.

The spelling of 40961168 in words is "forty million, nine hundred sixty-one thousand, one hundred sixty-eight".