409581881856 has 320 divisors, whose sum is σ = 1387089792000. Its totient is φ = 116896739328.

The previous prime is 409581881851. The next prime is 409581881887. The reversal of 409581881856 is 658188185904.

409581881856 is a `hidden beast` number, since 40 + 9 + 581 + 8 + 8 + 1 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 409581881793 and 409581881802.

It is not an unprimeable number, because it can be changed into a prime (409581881851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124151695 + ... + 124154993.

It is an arithmetic number, because the mean of its divisors is an integer number (4334655600).

Almost surely, 2^409581881856 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 409581881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693544896000).

409581881856 is an abundant number, since it is smaller than the sum of its proper divisors (977507910144).

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

409581881856 is a wasteful number, since it uses less digits than its factorization.

409581881856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 409581881856 in words is "four hundred nine billion, five hundred eighty-one million, eight hundred eighty-one thousand, eight hundred fifty-six".