1442321312404 has 96 divisors (see below), whose sum is σ = 3024493032960. Its totient is φ = 588912809472.

The previous prime is 1442321312321. The next prime is 1442321312407. The reversal of 1442321312404 is 4042131232441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442321312407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27922369 + ... + 27973975.

It is an arithmetic number, because the mean of its divisors is an integer number (31505135760).

Almost surely, 2^{1442321312404} is an apocalyptic number.

1442321312404 is a gapful number since it is divisible by the number (14) 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 1442321312404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512246516480).

1442321312404 is an abundant number, since it is smaller than the sum of its proper divisors (1582171720556).

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

1442321312404 is a wasteful number, since it uses less digits than its factorization.

1442321312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52217 (or 52215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1442321312404 its reverse (4042131232441), we get a palindrome (5484452544845).

The spelling of 1442321312404 in words is "one trillion, four hundred forty-two billion, three hundred twenty-one million, three hundred twelve thousand, four hundred four".