11240321110400 has 192 divisors, whose sum is σ = 27869943888000. Its totient is φ = 4479508561920.

The previous prime is 11240321110393. The next prime is 11240321110409. The reversal of 11240321110400 is 401112304211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240321110409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988675916 + ... + 988687284.

It is an arithmetic number, because the mean of its divisors is an integer number (145155957750).

Almost surely, 2^{11240321110400} is an apocalyptic number.

11240321110400 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 11240321110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934971944000).

11240321110400 is an abundant number, since it is smaller than the sum of its proper divisors (16629622777600).

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

11240321110400 is a wasteful number, since it uses less digits than its factorization.

11240321110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11240321110400 its reverse (401112304211), we get a palindrome (11641433414611).

The spelling of 11240321110400 in words is "eleven trillion, two hundred forty billion, three hundred twenty-one million, one hundred ten thousand, four hundred".