8310873242040 has 256 divisors, whose sum is σ = 26734717440000. Its totient is φ = 2060554567680.

The previous prime is 8310873242011. The next prime is 8310873242053. The reversal of 8310873242040 is 402423780138.

It is a happy number.

It is a super-2 number, since 2×8310873242040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8310873241983 and 8310873242001.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 62380377 + ... + 62513463.

It is an arithmetic number, because the mean of its divisors is an integer number (104432490000).

Almost surely, 2^{8310873242040} 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 8310873242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367358720000).

8310873242040 is an abundant number, since it is smaller than the sum of its proper divisors (18423844197960).

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

8310873242040 is a wasteful number, since it uses less digits than its factorization.

8310873242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133630 (or 133626 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 8310873242040 in words is "eight trillion, three hundred ten billion, eight hundred seventy-three million, two hundred forty-two thousand, forty".