1442313143200 has 144 divisors (see below), whose sum is σ = 3729105243864. Its totient is φ = 542851891200.

The previous prime is 1442313143191. The next prime is 1442313143207. The reversal of 1442313143200 is 23413132441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 652198377744 + 790114765456 = 807588^2 + 888884^2 .

It is not an unprimeable number, because it can be changed into a prime (1442313143207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66098692 + ... + 66120508.

Almost surely, 2^{1442313143200} is an apocalyptic number.

1442313143200 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 1442313143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864552621932).

1442313143200 is an abundant number, since it is smaller than the sum of its proper divisors (2286792100664).

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

1442313143200 is a wasteful number, since it uses less digits than its factorization.

1442313143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26715 (or 26702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1442313143200 its reverse (23413132441), we get a palindrome (1465726275641).

The spelling of 1442313143200 in words is "one trillion, four hundred forty-two billion, three hundred thirteen million, one hundred forty-three thousand, two hundred".