11244433011400 has 192 divisors, whose sum is σ = 27893332212480. Its totient is φ = 4206332697600.

The previous prime is 11244433011359. The next prime is 11244433011407. The reversal of 11244433011400 is 411033444211.

It is not an unprimeable number, because it can be changed into a prime (11244433011407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46740222 + ... + 46980178.

It is an arithmetic number, because the mean of its divisors is an integer number (145277771940).

Almost surely, 2^{11244433011400} is an apocalyptic number.

11244433011400 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 11244433011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946666106240).

11244433011400 is an abundant number, since it is smaller than the sum of its proper divisors (16648899201080).

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

11244433011400 is a wasteful number, since it uses less digits than its factorization.

11244433011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240224 (or 240215 counting only the distinct ones).

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

Adding to 11244433011400 its reverse (411033444211), we get a palindrome (11655466455611).

The spelling of 11244433011400 in words is "eleven trillion, two hundred forty-four billion, four hundred thirty-three million, eleven thousand, four hundred".