1442333002012 has 96 divisors (see below), whose sum is σ = 3011819328000. Its totient is φ = 603932184576.

The previous prime is 1442333001929. The next prime is 1442333002109. The reversal of 1442333002012 is 2102003332441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13139868 + ... + 13249180.

It is an arithmetic number, because the mean of its divisors is an integer number (31373118000).

Almost surely, 2^{1442333002012} 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 1442333002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505909664000).

1442333002012 is an abundant number, since it is smaller than the sum of its proper divisors (1569486325988).

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

1442333002012 is a wasteful number, since it uses less digits than its factorization.

1442333002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109560 (or 109544 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1442333002012 its reverse (2102003332441), we get a palindrome (3544336334453).

The spelling of 1442333002012 in words is "one trillion, four hundred forty-two billion, three hundred thirty-three million, two thousand, twelve".