409075068810852 has 144 divisors (see below), whose sum is σ = 1095202023831552. Its totient is φ = 133452601224480.

The previous prime is 409075068810841. The next prime is 409075068810857. The reversal of 409075068810852 is 258018860570904.

409075068810852 is a `hidden beast` number, since 40 + 9 + 0 + 7 + 506 + 8 + 8 + 1 + 0 + 85 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 409075068810852.

It is not an unprimeable number, because it can be changed into a prime (409075068810857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517076513 + ... + 1517346135.

Almost surely, 2^{409075068810852} 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 409075068810852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547601011915776).

409075068810852 is an abundant number, since it is smaller than the sum of its proper divisors (686126955020700).

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

409075068810852 is a wasteful number, since it uses less digits than its factorization.

409075068810852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302900 (or 302886 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 409075068810852 in words is "four hundred nine trillion, seventy-five billion, sixty-eight million, eight hundred ten thousand, eight hundred fifty-two".