409055025834 has 768 divisors, whose sum is σ = 1255584153600. Its totient is φ = 95805296640.

The previous prime is 409055025833. The next prime is 409055025889. The reversal of 409055025834 is 438520550904.

409055025834 is a `hidden beast` number, since 4 + 0 + 90 + 5 + 502 + 58 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 409055025834.

It is not an unprimeable number, because it can be changed into a prime (409055025833) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4217062074 + ... + 4217062170.

It is an arithmetic number, because the mean of its divisors is an integer number (1634875200).

Almost surely, 2^409055025834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409055025834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627792076800).

409055025834 is an abundant number, since it is smaller than the sum of its proper divisors (846529127766).

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

409055025834 is a wasteful number, since it uses less digits than its factorization.

409055025834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 409055025834 in words is "four hundred nine billion, fifty-five million, twenty-five thousand, eight hundred thirty-four".