1442240320 has 56 divisors (see below), whose sum is σ = 3447214848. Its totient is φ = 574732800.

The previous prime is 1442240291. The next prime is 1442240347. The reversal of 1442240320 is 230422441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1442240291 and 1442240300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78405 + ... + 95035.

It is an arithmetic number, because the mean of its divisors is an integer number (61557408).

Almost surely, 2^1442240320 is an apocalyptic number.

1442240320 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 1442240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723607424).

1442240320 is an abundant number, since it is smaller than the sum of its proper divisors (2004974528).

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

1442240320 is a wasteful number, since it uses less digits than its factorization.

1442240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919 (or 16909 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1442240320 is about 37976.8392576317. The cubic root of 1442240320 is about 1129.8285483995.

Adding to 1442240320 its reverse (230422441), we get a palindrome (1672662761).

The spelling of 1442240320 in words is "one billion, four hundred forty-two million, two hundred forty thousand, three hundred twenty".