11110400000 has 360 divisors, whose sum is σ = 32764902912. Its totient is φ = 3686400000.

The previous prime is 11110399999. The next prime is 11110400009. The reversal of 11110400000 is 401111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358399985 + ... + 358400015.

Almost surely, 2^11110400000 is an apocalyptic number.

11110400000 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 11110400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382451456).

11110400000 is an abundant number, since it is smaller than the sum of its proper divisors (21654502912).

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

11110400000 is an frugal number, since it uses more digits than its factorization.

11110400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11110400000 its reverse (401111), we get a palindrome (11110801111).

The spelling of 11110400000 in words is "eleven billion, one hundred ten million, four hundred thousand".