1023440016 has 160 divisors (see below), whose sum is σ = 2939811840. Its totient is φ = 305344512.

The previous prime is 1023440009. The next prime is 1023440021. The reversal of 1023440016 is 6100443201.

It is a junction number, because it is equal to n+sod(n) for n = 1023439974 and 1023440001.

It is an unprimeable number.

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, 2034421 + ... + 2034923.

It is an arithmetic number, because the mean of its divisors is an integer number (18373824).

Almost surely, 2^1023440016 is an apocalyptic number.

1023440016 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 1023440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

1023440016 is an abundant number, since it is smaller than the sum of its proper divisors (1916371824).

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

1023440016 is a wasteful number, since it uses less digits than its factorization.

1023440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1023440016 is about 31991.2490534521. The cubic root of 1023440016 is about 1007.7530731769.

Adding to 1023440016 its reverse (6100443201), we get a palindrome (7123883217).

The spelling of 1023440016 in words is "one billion, twenty-three million, four hundred forty thousand, sixteen".