11224104000240 has 160 divisors (see below), whose sum is σ = 34884445395456. Its totient is φ = 2985386306560.

The previous prime is 11224104000199. The next prime is 11224104000269. The reversal of 11224104000240 is 4200040142211.

11224104000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11224104000240³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146362387 + ... + 146439053.

Almost surely, 2^{11224104000240} is an apocalyptic number.

11224104000240 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 11224104000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442222697728).

11224104000240 is an abundant number, since it is smaller than the sum of its proper divisors (23660341395216).

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

11224104000240 is a wasteful number, since it uses less digits than its factorization.

11224104000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78247 (or 78241 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11224104000240 its reverse (4200040142211), we get a palindrome (15424144142451).

The spelling of 11224104000240 in words is "eleven trillion, two hundred twenty-four billion, one hundred four million, two hundred forty", and thus it is an aban number.