11040413404020 has 768 divisors, whose sum is σ = 42690370609152. Its totient is φ = 2057372835840.

The previous prime is 11040413404019. The next prime is 11040413404021. The reversal of 11040413404020 is 2040431404011.

11040413404020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11040413404019) and next prime (11040413404021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040413404021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1682217259 + ... + 1682223821.

It is an arithmetic number, because the mean of its divisors is an integer number (55586420064).

Almost surely, 2^{11040413404020} is an apocalyptic number.

11040413404020 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 11040413404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345185304576).

11040413404020 is an abundant number, since it is smaller than the sum of its proper divisors (31649957205132).

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

11040413404020 is a wasteful number, since it uses less digits than its factorization.

11040413404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11040413404020 its reverse (2040431404011), we get a palindrome (13080844808031).

Subtracting from 11040413404020 its reverse (2040431404011), we obtain a square (8999982000009 = 2999997²).

The spelling of 11040413404020 in words is "eleven trillion, forty billion, four hundred thirteen million, four hundred four thousand, twenty".