8421433440 has 384 divisors, whose sum is σ = 32188907520. Its totient is φ = 1809020928.

The previous prime is 8421433369. The next prime is 8421433451. The reversal of 8421433440 is 443341248.

It is a congruent number.

It is an unprimeable number.

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, 4558597 + ... + 4560443.

It is an arithmetic number, because the mean of its divisors is an integer number (83825280).

Almost surely, 2^8421433440 is an apocalyptic number.

8421433440 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 8421433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094453760).

8421433440 is an abundant number, since it is smaller than the sum of its proper divisors (23767474080).

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

8421433440 is a wasteful number, since it uses less digits than its factorization.

8421433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 8421433440 is about 91768.3684065485. The cubic root of 8421433440 is about 2034.5202031371.

Adding to 8421433440 its reverse (443341248), we get a palindrome (8864774688).

The spelling of 8421433440 in words is "eight billion, four hundred twenty-one million, four hundred thirty-three thousand, four hundred forty".