40611168 has 72 divisors (see below), whose sum is σ = 124383168. Its totient is φ = 12494592.

The previous prime is 40611167. The next prime is 40611173. The reversal of 40611168 is 86111604.

40611168 is a `hidden beast` number, since 40 + 611 + 1 + 6 + 8 = 666.

40611168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40611167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (1727544).

Almost surely, 2^40611168 is an apocalyptic number.

40611168 is a gapful number since it is divisible by the number (48) 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 40611168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62191584).

40611168 is an abundant number, since it is smaller than the sum of its proper divisors (83772000).

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

40611168 is a wasteful number, since it uses less digits than its factorization.

40611168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40611168 is about 6372.6892282615. The cubic root of 40611168 is about 343.7281970524.

The spelling of 40611168 in words is "forty million, six hundred eleven thousand, one hundred sixty-eight".