40241085768 has 112 divisors (see below), whose sum is σ = 121828556220. Its totient is φ = 12381849216.

The previous prime is 40241085767. The next prime is 40241085769. The reversal of 40241085768 is 86758014204.

40241085768 is a `hidden beast` number, since 40 + 24 + 10 + 8 + 576 + 8 = 666.

40241085768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40241085767) and next prime (40241085769).

It can be written as a sum of positive squares in 2 ways, for example, as 38149121124 + 2091964644 = 195318^2 + 45738^2 .

It is not an unprimeable number, because it can be changed into a prime (40241085767) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 189571 + ... + 341202.

Almost surely, 2^40241085768 is an apocalyptic number.

It is an amenable number.

40241085768 is an abundant number, since it is smaller than the sum of its proper divisors (81587470452).

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

40241085768 is a wasteful number, since it uses less digits than its factorization.

40241085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530810 (or 530791 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 40241085768 in words is "forty billion, two hundred forty-one million, eighty-five thousand, seven hundred sixty-eight".