8330439040 has 768 divisors, whose sum is σ = 28130457600. Its totient is φ = 2322432000.

The previous prime is 8330439011. The next prime is 8330439041. The reversal of 8330439040 is 409340338.

It is a super-2 number, since 2×8330439040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8330438987 and 8330439005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8330439041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203181420 + ... + 203181460.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 2^8330439040 is an apocalyptic number.

8330439040 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 8330439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

8330439040 is an abundant number, since it is smaller than the sum of its proper divisors (19800018560).

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

8330439040 is a wasteful number, since it uses less digits than its factorization.

8330439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 8330439040 is about 91271.2388433509. The cubic root of 8330439040 is about 2027.1659223233.

Adding to 8330439040 its reverse (409340338), we get a palindrome (8739779378).

The spelling of 8330439040 in words is "eight billion, three hundred thirty million, four hundred thirty-nine thousand, forty".