11004334240020 has 192 divisors, whose sum is σ = 34826433546240. Its totient is φ = 2571718464000.

The previous prime is 11004334240019. The next prime is 11004334240027. The reversal of 11004334240020 is 2004243340011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004334240027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11859945 + ... + 12754095.

It is an arithmetic number, because the mean of its divisors is an integer number (181387674720).

Almost surely, 2^{11004334240020} is an apocalyptic number.

11004334240020 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 11004334240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413216773120).

11004334240020 is an abundant number, since it is smaller than the sum of its proper divisors (23822099306220).

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

11004334240020 is a wasteful number, since it uses less digits than its factorization.

11004334240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894846 (or 894844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11004334240020 its reverse (2004243340011), we get a palindrome (13008577580031).

Subtracting from 11004334240020 its reverse (2004243340011), we obtain a palindrome (9000090900009).

The spelling of 11004334240020 in words is "eleven trillion, four billion, three hundred thirty-four million, two hundred forty thousand, twenty".