11214034414400 has 336 divisors, whose sum is σ = 31585656513600. Its totient is φ = 3891453788160.

The previous prime is 11214034414393. The next prime is 11214034414403. The reversal of 11214034414400 is 441443041211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214034414403) 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 47 ways as a sum of consecutive naturals, for example, 18828371 + ... + 19414829.

It is an arithmetic number, because the mean of its divisors is an integer number (94004930100).

Almost surely, 2^{11214034414400} is an apocalyptic number.

11214034414400 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 11214034414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792828256800).

11214034414400 is an abundant number, since it is smaller than the sum of its proper divisors (20371622099200).

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

11214034414400 is a wasteful number, since it uses less digits than its factorization.

11214034414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586554 (or 586539 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 11214034414400 its reverse (441443041211), we get a palindrome (11655477455611).

The spelling of 11214034414400 in words is "eleven trillion, two hundred fourteen billion, thirty-four million, four hundred fourteen thousand, four hundred".