410020012224 has 126 divisors (see below), whose sum is σ = 1207872597204. Its totient is φ = 132979207680.

The previous prime is 410020012211. The next prime is 410020012253. The reversal of 410020012224 is 422210020014.

410020012224 is a `hidden beast` number, since 410 + 0 + 20 + 0 + 12 + 224 = 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 = 410020012197 and 410020012206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 528559 + ... + 1048529.

It is an arithmetic number, because the mean of its divisors is an integer number (9586290454).

Almost surely, 2^410020012224 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 410020012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603936298602).

410020012224 is an abundant number, since it is smaller than the sum of its proper divisors (797852584980).

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

410020012224 is a wasteful number, since it uses less digits than its factorization.

410020012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520063 (or 520013 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 410020012224 its reverse (422210020014), we get a palindrome (832230032238).

The spelling of 410020012224 in words is "four hundred ten billion, twenty million, twelve thousand, two hundred twenty-four".