11101444332400 has 120 divisors (see below), whose sum is σ = 28320121753344. Its totient is φ = 4167526809600.

The previous prime is 11101444332361. The next prime is 11101444332401. The reversal of 11101444332400 is 423344410111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101444332401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 87985 + ... + 4712815.

Almost surely, 2^{11101444332400} is an apocalyptic number.

11101444332400 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 11101444332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160060876672).

11101444332400 is an abundant number, since it is smaller than the sum of its proper divisors (17218677420944).

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

11101444332400 is a wasteful number, since it uses less digits than its factorization.

11101444332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625219 (or 4625208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11101444332400 its reverse (423344410111), we get a palindrome (11524788742511).

The spelling of 11101444332400 in words is "eleven trillion, one hundred one billion, four hundred forty-four million, three hundred thirty-two thousand, four hundred".