8420845440 has 256 divisors, whose sum is σ = 30768030720. Its totient is φ = 1918992384.

The previous prime is 8420845417. The next prime is 8420845451. The reversal of 8420845440 is 445480248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5818797 + ... + 5820243.

It is an arithmetic number, because the mean of its divisors is an integer number (120187620).

Almost surely, 2^8420845440 is an apocalyptic number.

8420845440 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 8420845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384015360).

8420845440 is an abundant number, since it is smaller than the sum of its proper divisors (22347185280).

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

8420845440 is a wasteful number, since it uses less digits than its factorization.

8420845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The square root of 8420845440 is about 91765.1646323375. The cubic root of 8420845440 is about 2034.4728507185.

The spelling of 8420845440 in words is "eight billion, four hundred twenty million, eight hundred forty-five thousand, four hundred forty".