11404214200 has 96 divisors (see below), whose sum is σ = 29124028800. Its totient is φ = 4133669760.

The previous prime is 11404214167. The next prime is 11404214201. The reversal of 11404214200 is 241240411.

It is a super-2 number, since 2×11404214200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404214201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22159 + ... + 152641.

It is an arithmetic number, because the mean of its divisors is an integer number (303375300).

Almost surely, 2^11404214200 is an apocalyptic number.

11404214200 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 11404214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562014400).

11404214200 is an abundant number, since it is smaller than the sum of its proper divisors (17719814600).

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

11404214200 is a wasteful number, since it uses less digits than its factorization.

11404214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130541 (or 130532 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11404214200 its reverse (241240411), we get a palindrome (11645454611).

The spelling of 11404214200 in words is "eleven billion, four hundred four million, two hundred fourteen thousand, two hundred".