809240040 has 384 divisors, whose sum is σ = 3141815040. Its totient is φ = 176836608.

The previous prime is 809240023. The next prime is 809240051. The reversal of 809240040 is 40042908.

It is a junction number, because it is equal to n+sod(n) for n = 809239986 and 809240013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9749839 + ... + 9749921.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2^809240040 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 809240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570907520).

809240040 is an abundant number, since it is smaller than the sum of its proper divisors (2332575000).

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

809240040 is a wasteful number, since it uses less digits than its factorization.

809240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 809240040 is about 28447.1446721811. The cubic root of 809240040 is about 931.8781331074.

Adding to 809240040 its reverse (40042908), we get a palindrome (849282948).

The spelling of 809240040 in words is "eight hundred nine million, two hundred forty thousand, forty".