11201440 has 24 divisors (see below), whose sum is σ = 26463780. Its totient is φ = 4480512.

The previous prime is 11201413. The next prime is 11201473. The reversal of 11201440 is 4410211.

11201440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 781456 = 3228^2 + 884^2 .

11201440 is a modest number, since divided by 1440 gives 1120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11201440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34845 + ... + 35164.

Almost surely, 2^11201440 is an apocalyptic number.

11201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201440 is an abundant number, since it is smaller than the sum of its proper divisors (15262340).

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

11201440 is an equidigital number, since it uses as much as digits as its factorization.

11201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70024 (or 70016 counting only the distinct ones).

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

The square root of 11201440 is about 3346.8552403712. The cubic root of 11201440 is about 223.7473767677.

Adding to 11201440 its reverse (4410211), we get a palindrome (15611651).

The spelling of 11201440 in words is "eleven million, two hundred one thousand, four hundred forty".