11440000 has 160 divisors (see below), whose sum is σ = 33458040. Its totient is φ = 3840000.

The previous prime is 11439979. The next prime is 11440003. The reversal of 11440000 is 4411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440003) 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 19 ways as a sum of consecutive naturals, for example, 879994 + ... + 880006.

Almost surely, 2^11440000 is an apocalyptic number.

11440000 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 11440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729020).

11440000 is an abundant number, since it is smaller than the sum of its proper divisors (22018040).

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

11440000 is an equidigital number, since it uses as much as digits as its factorization.

11440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11440000 is about 3382.3069050576. The cubic root of 11440000 is about 225.3246342669.

Adding to 11440000 its reverse (4411), we get a palindrome (11444411).

It can be divided in two parts, 11 and 440000, that multiplied together give a square (4840000 = 2200²).

The spelling of 11440000 in words is "eleven million, four hundred forty thousand".