40958568 has 128 divisors (see below), whose sum is σ = 131788800. Its totient is φ = 11544768.

The previous prime is 40958563. The next prime is 40958579. The reversal of 40958568 is 86585904.

40958568 is a `hidden beast` number, since 4 + 0 + 9 + 585 + 68 = 666.

40958568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40958568² = 3355208585221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40958563) 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 31 ways as a sum of consecutive naturals, for example, 155605 + ... + 155867.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 2^40958568 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 40958568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65894400).

40958568 is an abundant number, since it is smaller than the sum of its proper divisors (90830232).

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

40958568 is a wasteful number, since it uses less digits than its factorization.

40958568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 40958568 is about 6399.8881240222. Note that the first 3 decimals coincide. The cubic root of 40958568 is about 344.7055332353.

The spelling of 40958568 in words is "forty million, nine hundred fifty-eight thousand, five hundred sixty-eight".