11120411342040 has 512 divisors, whose sum is σ = 44805364531200. Its totient is φ = 2132383242240.

The previous prime is 11120411342039. The next prime is 11120411342111. The reversal of 11120411342040 is 4024311402111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11120411342040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506775309 + ... + 506797251.

It is an arithmetic number, because the mean of its divisors is an integer number (87510477600).

Almost surely, 2^{11120411342040} is an apocalyptic number.

11120411342040 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 11120411342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402682265600).

11120411342040 is an abundant number, since it is smaller than the sum of its proper divisors (33684953189160).

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

11120411342040 is a wasteful number, since it uses less digits than its factorization.

11120411342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26207 (or 26203 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11120411342040 its reverse (4024311402111), we get a palindrome (15144722744151).

The spelling of 11120411342040 in words is "eleven trillion, one hundred twenty billion, four hundred eleven million, three hundred forty-two thousand, forty".