1001110440 has 96 divisors (see below), whose sum is σ = 3301230240. Its totient is φ = 242689920.

The previous prime is 1001110417. The next prime is 1001110447. The reversal of 1001110440 is 440111001.

It is a super-2 number, since 2×1001110440² = 2004444226153987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001110447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19954 + ... + 48993.

It is an arithmetic number, because the mean of its divisors is an integer number (34387815).

Almost surely, 2^1001110440 is an apocalyptic number.

1001110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110440 is an abundant number, since it is smaller than the sum of its proper divisors (2300119800).

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

1001110440 is a wasteful number, since it uses less digits than its factorization.

1001110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68983 (or 68968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1001110440 is about 31640.3293282481. The cubic root of 1001110440 is about 1000.3700097426.

Adding to 1001110440 its reverse (440111001), we get a palindrome (1441221441).

The spelling of 1001110440 in words is "one billion, one million, one hundred ten thousand, four hundred forty".