82040042727 has 8 divisors (see below), whose sum is σ = 121540804080. Its totient is φ = 54693361800.

The previous prime is 82040042699. The next prime is 82040042729. The reversal of 82040042727 is 72724004028.

82040042727 is a `hidden beast` number, since 8 + 204 + 0 + 0 + 427 + 27 = 666.

It is not a de Polignac number, because 82040042727 - 2⁸ = 82040042471 is a prime.

It is a super-2 number, since 2×82040042727² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82040042691 and 82040042700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82040042729) 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 7 ways as a sum of consecutive naturals, for example, 1519260024 + ... + 1519260077.

It is an arithmetic number, because the mean of its divisors is an integer number (15192600510).

Almost surely, 2^82040042727 is an apocalyptic number.

82040042727 is a deficient number, since it is larger than the sum of its proper divisors (39500761353).

82040042727 is a wasteful number, since it uses less digits than its factorization.

82040042727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038520110 (or 3038520104 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 82040042727 in words is "eighty-two billion, forty million, forty-two thousand, seven hundred twenty-seven".