411011120 has 80 divisors (see below), whose sum is σ = 1034537952. Its totient is φ = 150958080.

The previous prime is 411011093. The next prime is 411011149. The reversal of 411011120 is 21110114.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218504 + ... + 220376.

Almost surely, 2^411011120 is an apocalyptic number.

411011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517268976).

411011120 is an abundant number, since it is smaller than the sum of its proper divisors (623526832).

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

411011120 is a wasteful number, since it uses less digits than its factorization.

411011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 411011120 is about 20273.4091854330. The cubic root of 411011120 is about 743.5060794645.

Adding to 411011120 its reverse (21110114), we get a palindrome (432121234).

The spelling of 411011120 in words is "four hundred eleven million, eleven thousand, one hundred twenty".