409181826060 has 576 divisors, whose sum is σ = 1589965977600. Its totient is φ = 83008364544.

The previous prime is 409181826019. The next prime is 409181826061. The reversal of 409181826060 is 60628181904.

409181826060 is a `hidden beast` number, since 409 + 1 + 8 + 182 + 6 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 409181825997 and 409181826015.

It is not an unprimeable number, because it can be changed into a prime (409181826061) 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 191 ways as a sum of consecutive naturals, for example, 26703081 + ... + 26718399.

It is an arithmetic number, because the mean of its divisors is an integer number (2760357600).

Almost surely, 2^409181826060 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 409181826060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794982988800).

409181826060 is an abundant number, since it is smaller than the sum of its proper divisors (1180784151540).

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

409181826060 is a wasteful number, since it uses less digits than its factorization.

409181826060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15430 (or 15425 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 409181826060 in words is "four hundred nine billion, one hundred eighty-one million, eight hundred twenty-six thousand, sixty".