11034214440 has 128 divisors (see below), whose sum is σ = 33861058560. Its totient is φ = 2875245824.

The previous prime is 11034214423. The next prime is 11034214447. The reversal of 11034214440 is 4441243011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11034214440.

It is not an unprimeable number, because it can be changed into a prime (11034214447) 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 31 ways as a sum of consecutive naturals, for example, 4866187 + ... + 4868453.

It is an arithmetic number, because the mean of its divisors is an integer number (264539520).

Almost surely, 2^11034214440 is an apocalyptic number.

11034214440 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 11034214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930529280).

11034214440 is an abundant number, since it is smaller than the sum of its proper divisors (22826844120).

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

11034214440 is a wasteful number, since it uses less digits than its factorization.

11034214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11034214440 its reverse (4441243011), we get a palindrome (15475457451).

The spelling of 11034214440 in words is "eleven billion, thirty-four million, two hundred fourteen thousand, four hundred forty".