1442332441312 has 192 divisors, whose sum is σ = 3473414784000. Its totient is φ = 576101560320.

The previous prime is 1442332441261. The next prime is 1442332441327. The reversal of 1442332441312 is 2131442332441.

It is a super-2 number, since 2×1442332441312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181444314 + ... + 181452262.

It is an arithmetic number, because the mean of its divisors is an integer number (18090702000).

Almost surely, 2^{1442332441312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442332441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736707392000).

1442332441312 is an abundant number, since it is smaller than the sum of its proper divisors (2031082342688).

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

1442332441312 is a wasteful number, since it uses less digits than its factorization.

1442332441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8881 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

Adding to 1442332441312 its reverse (2131442332441), we get a palindrome (3573774773753).

The spelling of 1442332441312 in words is "one trillion, four hundred forty-two billion, three hundred thirty-two million, four hundred forty-one thousand, three hundred twelve".