1011440016 has 60 divisors (see below), whose sum is σ = 2840958172. Its totient is φ = 335916288.

The previous prime is 1011440011. The next prime is 1011440063. The reversal of 1011440016 is 6100441101.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 765075600 = 15696^2 + 27660^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011440011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27210 + ... + 52566.

Almost surely, 2^1011440016 is an apocalyptic number.

1011440016 is a gapful number since it is divisible by the number (16) 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 1011440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420479086).

1011440016 is an abundant number, since it is smaller than the sum of its proper divisors (1829518156).

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

1011440016 is a wasteful number, since it uses less digits than its factorization.

1011440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 25639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011440016 is about 31803.1447501658. The cubic root of 1011440016 is about 1003.7988888357.

Adding to 1011440016 its reverse (6100441101), we get a palindrome (7111881117).

The spelling of 1011440016 in words is "one billion, eleven million, four hundred forty thousand, sixteen".