809745950340 has 144 divisors (see below), whose sum is σ = 2492036741376. Its totient is φ = 212787321600.

The previous prime is 809745950323. The next prime is 809745950357. The reversal of 809745950340 is 43059547908.

809745950340 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 4 + 595 + 0 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (809745950323) and next prime (809745950357).

It is a super-3 number, since 3×809745950340³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 28267825 + ... + 28296455.

It is an arithmetic number, because the mean of its divisors is an integer number (17305810704).

Almost surely, 2^809745950340 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 809745950340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246018370688).

809745950340 is an abundant number, since it is smaller than the sum of its proper divisors (1682290791036).

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

809745950340 is a wasteful number, since it uses less digits than its factorization.

809745950340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30930 (or 30925 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 809745950340 in words is "eight hundred nine billion, seven hundred forty-five million, nine hundred fifty thousand, three hundred forty".