409122986050872 has 192 divisors, whose sum is σ = 1147960866124800. Its totient is φ = 131475281414400.

The previous prime is 409122986050817. The next prime is 409122986050873. The reversal of 409122986050872 is 278050689221904.

409122986050872 is a `hidden beast` number, since 4 + 0 + 9 + 12 + 2 + 9 + 8 + 605 + 0 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409122986050873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8135735313 + ... + 8135785599.

It is an arithmetic number, because the mean of its divisors is an integer number (5978962844400).

Almost surely, 2^{409122986050872} 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 409122986050872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573980433062400).

409122986050872 is an abundant number, since it is smaller than the sum of its proper divisors (738837880073928).

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

409122986050872 is a wasteful number, since it uses less digits than its factorization.

409122986050872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56066 (or 56059 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 409122986050872 in words is "four hundred nine trillion, one hundred twenty-two billion, nine hundred eighty-six million, fifty thousand, eight hundred seventy-two".