11313044441400 has 192 divisors, whose sum is σ = 37793669800320. Its totient is φ = 2782868774400.

The previous prime is 11313044441393. The next prime is 11313044441453. The reversal of 11313044441400 is 414444031311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11078395 + ... + 12056405.

It is an arithmetic number, because the mean of its divisors is an integer number (196842030210).

Almost surely, 2^{11313044441400} is an apocalyptic number.

11313044441400 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 11313044441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896834900160).

11313044441400 is an abundant number, since it is smaller than the sum of its proper divisors (26480625358920).

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

11313044441400 is a wasteful number, since it uses less digits than its factorization.

11313044441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979526 (or 979517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11313044441400 its reverse (414444031311), we get a palindrome (11727488472711).

The spelling of 11313044441400 in words is "eleven trillion, three hundred thirteen billion, forty-four million, four hundred forty-one thousand, four hundred".