8139805440 has 432 divisors, whose sum is σ = 28991556384. Its totient is φ = 1934622720.

The previous prime is 8139805397. The next prime is 8139805451. The reversal of 8139805440 is 445089318.

It is a junction number, because it is equal to n+sod(n) for n = 8139805392 and 8139805401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83915472 + ... + 83915568.

Almost surely, 2^8139805440 is an apocalyptic number.

8139805440 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 8139805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495778192).

8139805440 is an abundant number, since it is smaller than the sum of its proper divisors (20851750944).

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

8139805440 is a wasteful number, since it uses less digits than its factorization.

8139805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8139805440 is about 90220.8703128051. The cubic root of 8139805440 is about 2011.5832381191.

The spelling of 8139805440 in words is "eight billion, one hundred thirty-nine million, eight hundred five thousand, four hundred forty".