410041320520 has 128 divisors (see below), whose sum is σ = 1029688783200. Its totient is φ = 145913757696.

The previous prime is 410041320511. The next prime is 410041320581. The reversal of 410041320520 is 25023140014.

It can be written as a sum of positive squares in 16 ways, for example, as 10468154596 + 399573165924 = 102314^2 + 632118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410041320491 and 410041320500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8375152 + ... + 8423968.

Almost surely, 2^410041320520 is an apocalyptic number.

410041320520 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 410041320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514844391600).

410041320520 is an abundant number, since it is smaller than the sum of its proper divisors (619647462680).

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

410041320520 is a wasteful number, since it uses less digits than its factorization.

410041320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49427 (or 49423 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 410041320520 its reverse (25023140014), we get a palindrome (435064460534).

The spelling of 410041320520 in words is "four hundred ten billion, forty-one million, three hundred twenty thousand, five hundred twenty".