82420209040 has 40 divisors (see below), whose sum is σ = 206367526008. Its totient is φ = 30432076800.

The previous prime is 82420209019. The next prime is 82420209077. The reversal of 82420209040 is 4090202428.

It can be written as a sum of positive squares in 4 ways, for example, as 12546688144 + 69873520896 = 112012^2 + 264336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 82420208993 and 82420209011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39624061 + ... + 39626140.

Almost surely, 2^82420209040 is an apocalyptic number.

82420209040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82420209040 is an abundant number, since it is smaller than the sum of its proper divisors (123947316968).

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

82420209040 is a wasteful number, since it uses less digits than its factorization.

82420209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79250227 (or 79250221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 82420209040 in words is "eighty-two billion, four hundred twenty million, two hundred nine thousand, forty".