8813242890240 has 768 divisors, whose sum is σ = 30330780480000. Its totient is φ = 2178191720448.

The previous prime is 8813242890233. The next prime is 8813242890241. The reversal of 8813242890240 is 420982423188.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8813242890241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5280552126 + ... + 5280553794.

It is an arithmetic number, because the mean of its divisors is an integer number (39493203750).

Almost surely, 2^{8813242890240} is an apocalyptic number.

8813242890240 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 8813242890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165390240000).

8813242890240 is an abundant number, since it is smaller than the sum of its proper divisors (21517537589760).

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

8813242890240 is a wasteful number, since it uses less digits than its factorization.

8813242890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 8813242890240 in words is "eight trillion, eight hundred thirteen billion, two hundred forty-two million, eight hundred ninety thousand, two hundred forty".