410080412160 has 240 divisors, whose sum is σ = 1430601411096. Its totient is φ = 108555730944.

The previous prime is 410080412149. The next prime is 410080412173. The reversal of 410080412160 is 61214080014.

It is a happy number.

410080412160 is a `hidden beast` number, since 4 + 10 + 0 + 80 + 412 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371670683904 + 38409728256 = 609648^2 + 195984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3091522 + ... + 3221438.

Almost surely, 2^410080412160 is an apocalyptic number.

410080412160 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 410080412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715300705548).

410080412160 is an abundant number, since it is smaller than the sum of its proper divisors (1020520998936).

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

410080412160 is a wasteful number, since it uses less digits than its factorization.

410080412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130083 (or 130064 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 410080412160 its reverse (61214080014), we get a palindrome (471294492174).

The spelling of 410080412160 in words is "four hundred ten billion, eighty million, four hundred twelve thousand, one hundred sixty".