11442240 has 168 divisors, whose sum is σ = 41010840. Its totient is φ = 2924544.

The previous prime is 11442227. The next prime is 11442251. The reversal of 11442240 is 4224411.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 9884736 = 1248^2 + 3144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 83452 + ... + 83588.

Almost surely, 2^11442240 is an apocalyptic number.

11442240 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 11442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505420).

11442240 is an abundant number, since it is smaller than the sum of its proper divisors (29568600).

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

11442240 is a wasteful number, since it uses less digits than its factorization.

11442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11442240 is about 3382.6380237915. The cubic root of 11442240 is about 225.3393398101.

Adding to 11442240 its reverse (4224411), we get a palindrome (15666651).

The spelling of 11442240 in words is "eleven million, four hundred forty-two thousand, two hundred forty".