11418400 has 72 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3912960.

The previous prime is 11418391. The next prime is 11418401. The reversal of 11418400 is 481411.

It is not an unprimeable number, because it can be changed into a prime (11418401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4581 + ... + 6619.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^11418400 is an apocalyptic number.

11418400 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 11418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

11418400 is an abundant number, since it is smaller than the sum of its proper divisors (20454560).

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

11418400 is a wasteful number, since it uses less digits than its factorization.

11418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11418400 is about 3379.1123094683. The cubic root of 11418400 is about 225.1827322135.

Adding to 11418400 its reverse (481411), we get a palindrome (11899811).

The spelling of 11418400 in words is "eleven million, four hundred eighteen thousand, four hundred".