1014442320 has 160 divisors (see below), whose sum is σ = 3277290240. Its totient is φ = 259338240.

The previous prime is 1014442279. The next prime is 1014442321. The reversal of 1014442320 is 232444101.

1014442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014442321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629676 + ... + 631284.

It is an arithmetic number, because the mean of its divisors is an integer number (20483064).

Almost surely, 2^1014442320 is an apocalyptic number.

1014442320 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 1014442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638645120).

1014442320 is an abundant number, since it is smaller than the sum of its proper divisors (2262847920).

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

1014442320 is a wasteful number, since it uses less digits than its factorization.

1014442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1014442320 is about 31850.3111444771. The cubic root of 1014442320 is about 1004.7911152219.

Adding to 1014442320 its reverse (232444101), we get a palindrome (1246886421).

The spelling of 1014442320 in words is "one billion, fourteen million, four hundred forty-two thousand, three hundred twenty".