8024821440 has 224 divisors, whose sum is σ = 28151815680. Its totient is φ = 1926414336.

The previous prime is 8024821421. The next prime is 8024821451. The reversal of 8024821440 is 441284208.

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, 364671 + ... + 386049.

Almost surely, 2^8024821440 is an apocalyptic number.

8024821440 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 8024821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075907840).

8024821440 is an abundant number, since it is smaller than the sum of its proper divisors (20126994240).

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

8024821440 is a wasteful number, since it uses less digits than its factorization.

8024821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21439 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 8024821440 is about 89581.3677055670. The cubic root of 8024821440 is about 2002.0663177636.

The spelling of 8024821440 in words is "eight billion, twenty-four million, eight hundred twenty-one thousand, four hundred forty".