82802043607040 has 384 divisors, whose sum is σ = 210782974671360. Its totient is φ = 31152439296000.

The previous prime is 82802043607021. The next prime is 82802043607079. The reversal of 82802043607040 is 4070634020828.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82802043606982 and 82802043607000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9483679475 + ... + 9483688205.

It is an arithmetic number, because the mean of its divisors is an integer number (548913996540).

Almost surely, 2^{82802043607040} is an apocalyptic number.

82802043607040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82802043607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105391487335680).

82802043607040 is an abundant number, since it is smaller than the sum of its proper divisors (127980931064320).

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

82802043607040 is a wasteful number, since it uses less digits than its factorization.

82802043607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

Adding to 82802043607040 its reverse (4070634020828), we get a palindrome (86872677627868).

The spelling of 82802043607040 in words is "eighty-two trillion, eight hundred two billion, forty-three million, six hundred seven thousand, forty".