8004282440 has 256 divisors, whose sum is σ = 23678853120. Its totient is φ = 2361047040.

The previous prime is 8004282353. The next prime is 8004282457. The reversal of 8004282440 is 442824008.

It is a junction number, because it is equal to n+sod(n) for n = 8004282397 and 8004282406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7295972 + ... + 7297068.

It is an arithmetic number, because the mean of its divisors is an integer number (92495520).

Almost surely, 2^8004282440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004282440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839426560).

8004282440 is an abundant number, since it is smaller than the sum of its proper divisors (15674570680).

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

8004282440 is a wasteful number, since it uses less digits than its factorization.

8004282440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8004282440 is about 89466.6554644802. The cubic root of 8004282440 is about 2000.3568063408.

The spelling of 8004282440 in words is "eight billion, four million, two hundred eighty-two thousand, four hundred forty".