8289420042240 has 1792 divisors, whose sum is σ = 31903850522880. Its totient is φ = 2063912140800.

The previous prime is 8289420042227. The next prime is 8289420042263. The reversal of 8289420042240 is 422400249828.

8289420042240 is a `hidden beast` number, since 82 + 8 + 94 + 20 + 0 + 422 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135892131810 + ... + 135892131870.

It is an arithmetic number, because the mean of its divisors is an integer number (17803488015).

Almost surely, 2^{8289420042240} is an apocalyptic number.

8289420042240 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 8289420042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951925261440).

8289420042240 is an abundant number, since it is smaller than the sum of its proper divisors (23614430480640).

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

8289420042240 is an frugal number, since it uses more digits than its factorization.

8289420042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 8289420042240 in words is "eight trillion, two hundred eighty-nine billion, four hundred twenty million, forty-two thousand, two hundred forty".