11142400 has 54 divisors (see below), whose sum is σ = 27595022. Its totient is φ = 4454400.

The previous prime is 11142377. The next prime is 11142401. The reversal of 11142400 is 424111.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 10969344 = 416^2 + 3312^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5530 + ... + 7270.

Almost surely, 2^11142400 is an apocalyptic number.

11142400 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 11142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797511).

11142400 is an abundant number, since it is smaller than the sum of its proper divisors (16452622).

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

11142400 is an equidigital number, since it uses as much as digits as its factorization.

11142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11142400 is about 3338.0233672040. The cubic root of 11142400 is about 223.3535785216.

Adding to 11142400 its reverse (424111), we get a palindrome (11566511).

The spelling of 11142400 in words is "eleven million, one hundred forty-two thousand, four hundred".