1442042021140 has 192 divisors, whose sum is σ = 3626115268608. Its totient is φ = 470992896000.

The previous prime is 1442042021129. The next prime is 1442042021149. The reversal of 1442042021140 is 411202402441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442042021149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252859565 + ... + 1252860715.

It is an arithmetic number, because the mean of its divisors is an integer number (18886017024).

Almost surely, 2^{1442042021140} is an apocalyptic number.

1442042021140 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 1442042021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813057634304).

1442042021140 is an abundant number, since it is smaller than the sum of its proper divisors (2184073247468).

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

1442042021140 is a wasteful number, since it uses less digits than its factorization.

1442042021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1442042021140 its reverse (411202402441), we get a palindrome (1853244423581).

The spelling of 1442042021140 in words is "one trillion, four hundred forty-two billion, forty-two million, twenty-one thousand, one hundred forty".