40161134146167 has 16 divisors (see below), whose sum is σ = 59536140768000. Its totient is φ = 26756915515992.

The previous prime is 40161134146157. The next prime is 40161134146181. The reversal of 40161134146167 is 76164143116104.

It is a happy number.

40161134146167 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 1 + 13 + 4 + 14 + 616 + 7 = 666.

40161134146167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40161134146167 - 2¹⁸ = 40161133884023 is a prime.

It is a super-2 number, since 2×40161134146167² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40161134146157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477010317 + ... + 477094502.

It is an arithmetic number, because the mean of its divisors is an integer number (3721008798000).

Almost surely, 2^{40161134146167} is an apocalyptic number.

40161134146167 is a deficient number, since it is larger than the sum of its proper divisors (19375006621833).

40161134146167 is a wasteful number, since it uses less digits than its factorization.

40161134146167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954106387 (or 954106381 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40161134146167 in words is "forty trillion, one hundred sixty-one billion, one hundred thirty-four million, one hundred forty-six thousand, one hundred sixty-seven".