11424144 has 60 divisors (see below), whose sum is σ = 30673136. Its totient is φ = 3663744.

The previous prime is 11424137. The next prime is 11424209. The reversal of 11424144 is 44142411.

It is a super-2 number, since 2×11424144² = 261022132265472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11424144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40227 + ... + 40509.

Almost surely, 2^11424144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336568).

11424144 is an abundant number, since it is smaller than the sum of its proper divisors (19248992).

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

11424144 is a wasteful number, since it uses less digits than its factorization.

11424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 11424144 is about 3379.9621299654. The cubic root of 11424144 is about 225.2204851032.

Adding to 11424144 its reverse (44142411), we get a palindrome (55566555).

The spelling of 11424144 in words is "eleven million, four hundred twenty-four thousand, one hundred forty-four".