411140268 has 144 divisors (see below), whose sum is σ = 1314593280. Its totient is φ = 105235200.

The previous prime is 411140201. The next prime is 411140269. The reversal of 411140268 is 862041114.

It is a happy number.

It is a super-2 number, since 2×411140268² = 338072639942223648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (411140269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195768 + ... + 197856.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2^411140268 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 411140268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

411140268 is an abundant number, since it is smaller than the sum of its proper divisors (903453012).

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

411140268 is a wasteful number, since it uses less digits than its factorization.

411140268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 411140268 is about 20276.5940926971. The cubic root of 411140268 is about 743.5839461878.

The spelling of 411140268 in words is "four hundred eleven million, one hundred forty thousand, two hundred sixty-eight".