809015040000 has 1440 divisors, whose sum is σ = 3220454437200. Its totient is φ = 203046912000.

The previous prime is 809015039957. The next prime is 809015040007. The reversal of 809015040000 is 40510908.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809015040007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 47589119992 + ... + 47589120008.

Almost surely, 2^809015040000 is an apocalyptic number.

809015040000 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 809015040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610227218600).

809015040000 is an abundant number, since it is smaller than the sum of its proper divisors (2411439397200).

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

809015040000 is an frugal number, since it uses more digits than its factorization.

809015040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 809015040000 its reverse (40510908), we get a palindrome (809055550908).

The spelling of 809015040000 in words is "eight hundred nine billion, fifteen million, forty thousand".