1442727936 has 288 divisors, whose sum is σ = 4674458880. Its totient is φ = 441925632.

The previous prime is 1442727929. The next prime is 1442727961. The reversal of 1442727936 is 6397272441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1442727891 and 1442727900.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6469521 + ... + 6469743.

It is an arithmetic number, because the mean of its divisors is an integer number (16230760).

Almost surely, 2^1442727936 is an apocalyptic number.

1442727936 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 1442727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337229440).

1442727936 is an abundant number, since it is smaller than the sum of its proper divisors (3231730944).

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

1442727936 is an equidigital number, since it uses as much as digits as its factorization.

1442727936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1442727936 is about 37983.2586279798. The cubic root of 1442727936 is about 1129.9558643059.

The spelling of 1442727936 in words is "one billion, four hundred forty-two million, seven hundred twenty-seven thousand, nine hundred thirty-six".