410141106 has 72 divisors (see below), whose sum is σ = 978279120. Its totient is φ = 123832368.

The previous prime is 410141077. The next prime is 410141141. The reversal of 410141106 is 601141014.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179785 + ... + 182051.

It is an arithmetic number, because the mean of its divisors is an integer number (13587210).

Almost surely, 2^410141106 is an apocalyptic number.

410141106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 410141106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489139560).

410141106 is an abundant number, since it is smaller than the sum of its proper divisors (568138014).

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

410141106 is a wasteful number, since it uses less digits than its factorization.

410141106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2314 counting only the distinct ones).

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

The square root of 410141106 is about 20251.9407958842. The cubic root of 410141106 is about 742.9810996269.

The spelling of 410141106 in words is "four hundred ten million, one hundred forty-one thousand, one hundred six".