410331130020 has 240 divisors, whose sum is σ = 1484614010880. Its totient is φ = 92929234176.

The previous prime is 410331130009. The next prime is 410331130021. The reversal of 410331130020 is 20031133014.

410331130020 is a `hidden beast` number, since 4 + 10 + 331 + 1 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 410331129975 and 410331130002.

It is not an unprimeable number, because it can be changed into a prime (410331130021) 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 79 ways as a sum of consecutive naturals, for example, 1070077 + ... + 1402043.

It is an arithmetic number, because the mean of its divisors is an integer number (6185891712).

Almost surely, 2^410331130020 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 410331130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742307005440).

410331130020 is an abundant number, since it is smaller than the sum of its proper divisors (1074282880860).

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

410331130020 is a wasteful number, since it uses less digits than its factorization.

410331130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332104 (or 332093 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 410331130020 its reverse (20031133014), we get a palindrome (430362263034).

The spelling of 410331130020 in words is "four hundred ten billion, three hundred thirty-one million, one hundred thirty thousand, twenty".