8230750290240 has 224 divisors, whose sum is σ = 26241213309696. Its totient is φ = 2185753067520.

The previous prime is 8230750290149. The next prime is 8230750290241. The reversal of 8230750290240 is 420920570328.

It is a junction number, because it is equal to n+sod(n) for n = 8230750290192 and 8230750290201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230750290241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333343794 + ... + 1333349966.

It is an arithmetic number, because the mean of its divisors is an integer number (117148273704).

Almost surely, 2^{8230750290240} is an apocalyptic number.

8230750290240 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 8230750290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120606654848).

8230750290240 is an abundant number, since it is smaller than the sum of its proper divisors (18010463019456).

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

8230750290240 is a wasteful number, since it uses less digits than its factorization.

8230750290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11737 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 8230750290240 in words is "eight trillion, two hundred thirty billion, seven hundred fifty million, two hundred ninety thousand, two hundred forty".