409130481816 has 256 divisors, whose sum is σ = 1305230976000. Its totient is φ = 116319836160.

The previous prime is 409130481803. The next prime is 409130481817. The reversal of 409130481816 is 618184031904.

409130481816 is a `hidden beast` number, since 4 + 0 + 91 + 3 + 0 + 481 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409130481817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418761520 + ... + 418762496.

It is an arithmetic number, because the mean of its divisors is an integer number (5098558500).

Almost surely, 2^409130481816 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 409130481816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652615488000).

409130481816 is an abundant number, since it is smaller than the sum of its proper divisors (896100494184).

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

409130481816 is a wasteful number, since it uses less digits than its factorization.

409130481816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

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

The spelling of 409130481816 in words is "four hundred nine billion, one hundred thirty million, four hundred eighty-one thousand, eight hundred sixteen".