82042418241 has 40 divisors (see below), whose sum is σ = 140139768384. Its totient is φ = 46856478240.

The previous prime is 82042418221. The next prime is 82042418257. The reversal of 82042418241 is 14281424028.

It is a happy number.

It is not a de Polignac number, because 82042418241 - 2⁷ = 82042418113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82042418196 and 82042418205.

It is not an unprimeable number, because it can be changed into a prime (82042418221) 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 39 ways as a sum of consecutive naturals, for example, 1057411 + ... + 1132343.

Almost surely, 2^82042418241 is an apocalyptic number.

82042418241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82042418241 is a deficient number, since it is larger than the sum of its proper divisors (58097350143).

82042418241 is a wasteful number, since it uses less digits than its factorization.

82042418241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76883 (or 76874 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 82042418241 in words is "eighty-two billion, forty-two million, four hundred eighteen thousand, two hundred forty-one".