11410211124 has 240 divisors, whose sum is σ = 33574741200. Its totient is φ = 3354753024.

The previous prime is 11410211083. The next prime is 11410211161. The reversal of 11410211124 is 42111201411.

It can be written as a sum of positive squares in 8 ways, for example, as 341067024 + 11069144100 = 18468^2 + 105210^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11410211097 and 11410211106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13313704 + ... + 13314560.

It is an arithmetic number, because the mean of its divisors is an integer number (139894755).

Almost surely, 2^11410211124 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 11410211124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787370600).

11410211124 is an abundant number, since it is smaller than the sum of its proper divisors (22164530076).

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

11410211124 is a wasteful number, since it uses less digits than its factorization.

11410211124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11410211124 its reverse (42111201411), we get a palindrome (53521412535).

The spelling of 11410211124 in words is "eleven billion, four hundred ten million, two hundred eleven thousand, one hundred twenty-four".