1442052000 has 288 divisors, whose sum is σ = 5248034064. Its totient is φ = 374784000.

The previous prime is 1442051983. The next prime is 1442052011. The reversal of 1442052000 is 2502441.

1442052000 is a `hidden beast` number, since 144 + 2 + 0 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37601424 + 1404450576 = 6132^2 + 37476^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475512 + ... + 1476488.

Almost surely, 2^1442052000 is an apocalyptic number.

1442052000 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 1442052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624017032).

1442052000 is an abundant number, since it is smaller than the sum of its proper divisors (3805982064).

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

1442052000 is a wasteful number, since it uses less digits than its factorization.

1442052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1442052000 is about 37974.3597707716. The cubic root of 1442052000 is about 1129.7793706097.

Adding to 1442052000 its reverse (2502441), we get a palindrome (1444554441).

The spelling of 1442052000 in words is "one billion, four hundred forty-two million, fifty-two thousand".