1411041120 has 192 divisors, whose sum is σ = 4551966720. Its totient is φ = 367331328.

The previous prime is 1411041119. The next prime is 1411041127. The reversal of 1411041120 is 211401141.

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 1411041120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411041127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4815694 + ... + 4815986.

It is an arithmetic number, because the mean of its divisors is an integer number (23708160).

Almost surely, 2^1411041120 is an apocalyptic number.

1411041120 is a gapful number since it is divisible by the number (10) 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 1411041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

1411041120 is an abundant number, since it is smaller than the sum of its proper divisors (3140925600).

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

1411041120 is a wasteful number, since it uses less digits than its factorization.

1411041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1411041120 is about 37563.8272810426. The cubic root of 1411041120 is about 1121.6220968606.

Adding to 1411041120 its reverse (211401141), we get a palindrome (1622442261).

The spelling of 1411041120 in words is "one billion, four hundred eleven million, forty-one thousand, one hundred twenty".