410141220 has 96 divisors (see below), whose sum is σ = 1221628800. Its totient is φ = 102518784.

The previous prime is 410141213. The next prime is 410141243. The reversal of 410141220 is 22141014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 410141220.

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, 108726 + ... + 112434.

It is an arithmetic number, because the mean of its divisors is an integer number (12725300).

Almost surely, 2^410141220 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 410141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610814400).

410141220 is an abundant number, since it is smaller than the sum of its proper divisors (811487580).

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

410141220 is a wasteful number, since it uses less digits than its factorization.

410141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 410141220 is about 20251.9436104291. The cubic root of 410141220 is about 742.9811684648.

Adding to 410141220 its reverse (22141014), we get a palindrome (432282234).

The spelling of 410141220 in words is "four hundred ten million, one hundred forty-one thousand, two hundred twenty".