11004233240000 has 560 divisors, whose sum is σ = 36637119568896. Its totient is φ = 3166041600000.

The previous prime is 11004233239913. The next prime is 11004233240047. The reversal of 11004233240000 is 4233240011.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39902585 + ... + 40177415.

Almost surely, 2^{11004233240000} is an apocalyptic number.

11004233240000 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 11004233240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318559784448).

11004233240000 is an abundant number, since it is smaller than the sum of its proper divisors (25632886328896).

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

11004233240000 is a wasteful number, since it uses less digits than its factorization.

11004233240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274894 (or 274869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11004233240000 its reverse (4233240011), we get a palindrome (11008466480011).

The spelling of 11004233240000 in words is "eleven trillion, four billion, two hundred thirty-three million, two hundred forty thousand".