82308634440 has 256 divisors, whose sum is σ = 266747904000. Its totient is φ = 20258304000.

The previous prime is 82308634423. The next prime is 82308634453. The reversal of 82308634440 is 4443680328.

It is a super-2 number, since 2×82308634440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82308634392 and 82308634401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34308361 + ... + 34310759.

It is an arithmetic number, because the mean of its divisors is an integer number (1041984000).

Almost surely, 2^82308634440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82308634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133373952000).

82308634440 is an abundant number, since it is smaller than the sum of its proper divisors (184439269560).

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

82308634440 is a wasteful number, since it uses less digits than its factorization.

82308634440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 82308634440 in words is "eighty-two billion, three hundred eight million, six hundred thirty-four thousand, four hundred forty".