410320404256 has 96 divisors (see below), whose sum is σ = 979288071552. Its totient is φ = 165209395200.

The previous prime is 410320404229. The next prime is 410320404259. The reversal of 410320404256 is 652404023014.

It is a super-3 number, since 3×410320404256³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (410320404259) 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 15 ways as a sum of consecutive naturals, for example, 2024331 + ... + 2217781.

It is an arithmetic number, because the mean of its divisors is an integer number (10200917412).

Almost surely, 2^410320404256 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 410320404256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489644035776).

410320404256 is an abundant number, since it is smaller than the sum of its proper divisors (568967667296).

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

410320404256 is a wasteful number, since it uses less digits than its factorization.

410320404256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194042 (or 194034 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 410320404256 in words is "four hundred ten billion, three hundred twenty million, four hundred four thousand, two hundred fifty-six".