11244311313400 has 384 divisors, whose sum is σ = 30606076800000. Its totient is φ = 3798770227200.

The previous prime is 11244311313373. The next prime is 11244311313439. The reversal of 11244311313400 is 431311344211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492016374 + ... + 492039226.

It is an arithmetic number, because the mean of its divisors is an integer number (79703325000).

Almost surely, 2^{11244311313400} is an apocalyptic number.

11244311313400 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 11244311313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15303038400000).

11244311313400 is an abundant number, since it is smaller than the sum of its proper divisors (19361765486600).

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

11244311313400 is a wasteful number, since it uses less digits than its factorization.

11244311313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23127 (or 23118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11244311313400 its reverse (431311344211), we get a palindrome (11675622657611).

The spelling of 11244311313400 in words is "eleven trillion, two hundred forty-four billion, three hundred eleven million, three hundred thirteen thousand, four hundred".