11201414423200 has 144 divisors (see below), whose sum is σ = 28588969313856. Its totient is φ = 4277560320000.

The previous prime is 11201414423183. The next prime is 11201414423219. The reversal of 11201414423200 is 232441410211.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9041200 + ... + 10205200.

It is an arithmetic number, because the mean of its divisors is an integer number (198534509124).

Almost surely, 2^{11201414423200} is an apocalyptic number.

11201414423200 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 11201414423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294484656928).

11201414423200 is an abundant number, since it is smaller than the sum of its proper divisors (17387554890656).

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

11201414423200 is a wasteful number, since it uses less digits than its factorization.

11201414423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164567 (or 1164554 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11201414423200 its reverse (232441410211), we get a palindrome (11433855833411).

The spelling of 11201414423200 in words is "eleven trillion, two hundred one billion, four hundred fourteen million, four hundred twenty-three thousand, two hundred".