413021112210 has 192 divisors, whose sum is σ = 1281860432640. Its totient is φ = 94356783360.

The previous prime is 413021112209. The next prime is 413021112227. The reversal of 413021112210 is 12211120314.

413021112210 is a `hidden beast` number, since 41 + 302 + 1 + 112 + 210 = 666.

It is a super-2 number, since 2×413021112210² (a number of 24 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 30382515 + ... + 30396105.

It is an arithmetic number, because the mean of its divisors is an integer number (6676356420).

Almost surely, 2^413021112210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640930216320).

413021112210 is an abundant number, since it is smaller than the sum of its proper divisors (868839320430).

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

413021112210 is a wasteful number, since it uses less digits than its factorization.

413021112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 413021112210 its reverse (12211120314), we get a palindrome (425232232524).

The spelling of 413021112210 in words is "four hundred thirteen billion, twenty-one million, one hundred twelve thousand, two hundred ten".