1100214440 has 64 divisors (see below), whose sum is σ = 2695971600. Its totient is φ = 401651712.

The previous prime is 1100214413. The next prime is 1100214457. The reversal of 1100214440 is 444120011.

It can be written as a sum of positive squares in 8 ways, for example, as 50324836 + 1049889604 = 7094^2 + 32402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34394 + ... + 58166.

Almost surely, 2^1100214440 is an apocalyptic number.

1100214440 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 1100214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347985800).

1100214440 is an abundant number, since it is smaller than the sum of its proper divisors (1595757160).

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

1100214440 is a wasteful number, since it uses less digits than its factorization.

1100214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23886 (or 23882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1100214440 is about 33169.4805506508. The cubic root of 1100214440 is about 1032.3471905367.

Adding to 1100214440 its reverse (444120011), we get a palindrome (1544334451).

The spelling of 1100214440 in words is "one billion, one hundred million, two hundred fourteen thousand, four hundred forty".