1442442320 has 80 divisors (see below), whose sum is σ = 3747885120. Its totient is φ = 511718400.

The previous prime is 1442442317. The next prime is 1442442343. The reversal of 1442442320 is 232442441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1442442320.

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 15 ways as a sum of consecutive naturals, for example, 16091 + ... + 56069.

It is an arithmetic number, because the mean of its divisors is an integer number (46848564).

Almost surely, 2^1442442320 is an apocalyptic number.

1442442320 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 1442442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873942560).

1442442320 is an abundant number, since it is smaller than the sum of its proper divisors (2305442800).

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

1442442320 is a wasteful number, since it uses less digits than its factorization.

1442442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40044 (or 40038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1442442320 is about 37979.4986802090. The cubic root of 1442442320 is about 1129.8812938191.

Adding to 1442442320 its reverse (232442441), we get a palindrome (1674884761).

The spelling of 1442442320 in words is "one billion, four hundred forty-two million, four hundred forty-two thousand, three hundred twenty".