11110444400 has 240 divisors, whose sum is σ = 30714605568. Its totient is φ = 3822720000.

The previous prime is 11110444381. The next prime is 11110444439. The reversal of 11110444400 is 444401111.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 10220657 + ... + 10221743.

Almost surely, 2^11110444400 is an apocalyptic number.

11110444400 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 11110444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357302784).

11110444400 is an abundant number, since it is smaller than the sum of its proper divisors (19604161168).

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

11110444400 is a wasteful number, since it uses less digits than its factorization.

11110444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11110444400 its reverse (444401111), we get a palindrome (11554845511).

The spelling of 11110444400 in words is "eleven billion, one hundred ten million, four hundred forty-four thousand, four hundred".