11104001044400 has 480 divisors, whose sum is σ = 31163467910400. Its totient is φ = 3759782400000.

The previous prime is 11104001044337. The next prime is 11104001044441. The reversal of 11104001044400 is 444010040111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173655670 + ... + 1173665130.

It is an arithmetic number, because the mean of its divisors is an integer number (64923891480).

Almost surely, 2^{11104001044400} is an apocalyptic number.

11104001044400 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 11104001044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581733955200).

11104001044400 is an abundant number, since it is smaller than the sum of its proper divisors (20059466866000).

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

11104001044400 is a wasteful number, since it uses less digits than its factorization.

11104001044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9738 counting only the distinct ones).

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

Adding to 11104001044400 its reverse (444010040111), we get a palindrome (11548011084511).

The spelling of 11104001044400 in words is "eleven trillion, one hundred four billion, one million, forty-four thousand, four hundred".