11414344400 has 120 divisors (see below), whose sum is σ = 28093151328. Its totient is φ = 4455360000.

The previous prime is 11414344399. The next prime is 11414344463. The reversal of 11414344400 is 444341411.

It is a super-2 number, since 2×11414344400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11414344400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3194615 + ... + 3198185.

Almost surely, 2^11414344400 is an apocalyptic number.

11414344400 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 11414344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046575664).

11414344400 is an abundant number, since it is smaller than the sum of its proper divisors (16678806928).

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

11414344400 is a wasteful number, since it uses less digits than its factorization.

11414344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11414344400 its reverse (444341411), we get a palindrome (11858685811).

The spelling of 11414344400 in words is "eleven billion, four hundred fourteen million, three hundred forty-four thousand, four hundred".