40418768 has 40 divisors (see below), whose sum is σ = 84739368. Its totient is φ = 18565632.

The previous prime is 40418767. The next prime is 40418771. The reversal of 40418768 is 86781404.

40418768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 33085504 = 2708^2 + 5752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40418767) 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 7 ways as a sum of consecutive naturals, for example, 65630 + ... + 66242.

Almost surely, 2^40418768 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 40418768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42369684).

40418768 is an abundant number, since it is smaller than the sum of its proper divisors (44320600).

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

40418768 is a wasteful number, since it uses less digits than its factorization.

40418768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 40418768 is about 6357.5756385591. The cubic root of 40418768 is about 343.1845205045.

The spelling of 40418768 in words is "forty million, four hundred eighteen thousand, seven hundred sixty-eight".