40106586195 has 48 divisors (see below), whose sum is σ = 77280682752. Its totient is φ = 19107843840.

The previous prime is 40106586139. The next prime is 40106586197. The reversal of 40106586195 is 59168560104.

40106586195 is a `hidden beast` number, since 40 + 10 + 6 + 586 + 19 + 5 = 666.

It is not a de Polignac number, because 40106586195 - 2⁹ = 40106585683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40106586195.

It is not an unprimeable number, because it can be changed into a prime (40106586197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087644 + ... + 1123913.

It is an arithmetic number, because the mean of its divisors is an integer number (1610014224).

Almost surely, 2^40106586195 is an apocalyptic number.

40106586195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40106586195 is a deficient number, since it is larger than the sum of its proper divisors (37174096557).

40106586195 is a wasteful number, since it uses less digits than its factorization.

40106586195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211612 (or 2211609 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 40106586195 in words is "forty billion, one hundred six million, five hundred eighty-six thousand, one hundred ninety-five".