1110010440 has 384 divisors, whose sum is σ = 4271662080. Its totient is φ = 225815040.

The previous prime is 1110010417. The next prime is 1110010441. The reversal of 1110010440 is 440100111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110010441) 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 95 ways as a sum of consecutive naturals, for example, 6809799 + ... + 6809961.

It is an arithmetic number, because the mean of its divisors is an integer number (11124120).

Almost surely, 2^1110010440 is an apocalyptic number.

1110010440 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 1110010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135831040).

1110010440 is an abundant number, since it is smaller than the sum of its proper divisors (3161651640).

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

1110010440 is a wasteful number, since it uses less digits than its factorization.

1110010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

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

The square root of 1110010440 is about 33316.8191759057. The cubic root of 1110010440 is about 1035.4020515534.

Adding to 1110010440 its reverse (440100111), we get a palindrome (1550110551).

The spelling of 1110010440 in words is "one billion, one hundred ten million, ten thousand, four hundred forty".