410314401220 has 24 divisors (see below), whose sum is σ = 872567337600. Its totient is φ = 162048218592.

The previous prime is 410314401149. The next prime is 410314401223. The reversal of 410314401220 is 22104413014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 410314401191 and 410314401200.

It is not an unprimeable number, because it can be changed into a prime (410314401223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 129844750 + ... + 129847909.

It is an arithmetic number, because the mean of its divisors is an integer number (36356972400).

Almost surely, 2^410314401220 is an apocalyptic number.

It is an amenable number.

410314401220 is an abundant number, since it is smaller than the sum of its proper divisors (462252936380).

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

410314401220 is a wasteful number, since it uses less digits than its factorization.

410314401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259692747 (or 259692745 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 410314401220 its reverse (22104413014), we get a palindrome (432418814234).

The spelling of 410314401220 in words is "four hundred ten billion, three hundred fourteen million, four hundred one thousand, two hundred twenty".