409415258880 has 432 divisors, whose sum is σ = 1494716452320. Its totient is φ = 103179681792.

The previous prime is 409415258873. The next prime is 409415258881. The reversal of 409415258880 is 88852514904.

409415258880 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 1 + 52 + 588 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (409415258881) 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, 100026114 + ... + 100030206.

Almost surely, 2^409415258880 is an apocalyptic number.

409415258880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409415258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747358226160).

409415258880 is an abundant number, since it is smaller than the sum of its proper divisors (1085301193440).

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

409415258880 is a wasteful number, since it uses less digits than its factorization.

409415258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 409415258880 in words is "four hundred nine billion, four hundred fifteen million, two hundred fifty-eight thousand, eight hundred eighty".