11314441200 has 120 divisors (see below), whose sum is σ = 36277750000. Its totient is φ = 3014369280.

The previous prime is 11314441199. The next prime is 11314441231. The reversal of 11314441200 is 214441311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495026 + ... + 1502574.

Almost surely, 2^11314441200 is an apocalyptic number.

11314441200 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 11314441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138875000).

11314441200 is an abundant number, since it is smaller than the sum of its proper divisors (24963308800).

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

11314441200 is a wasteful number, since it uses less digits than its factorization.

11314441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11314441200 its reverse (214441311), we get a palindrome (11528882511).

The spelling of 11314441200 in words is "eleven billion, three hundred fourteen million, four hundred forty-one thousand, two hundred".