1442131320240 has 640 divisors, whose sum is σ = 5607551093760. Its totient is φ = 338262220800.

The previous prime is 1442131320229. The next prime is 1442131320241. The reversal of 1442131320240 is 420231312441.

1442131320240 is a `hidden beast` number, since 1 + 4 + 421 + 31 + 3 + 202 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442131320241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49490475 + ... + 49519605.

It is an arithmetic number, because the mean of its divisors is an integer number (8761798584).

Almost surely, 2^{1442131320240} is an apocalyptic number.

1442131320240 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 1442131320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803775546880).

1442131320240 is an abundant number, since it is smaller than the sum of its proper divisors (4165419773520).

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

1442131320240 is a wasteful number, since it uses less digits than its factorization.

1442131320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29250 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1442131320240 its reverse (420231312441), we get a palindrome (1862362632681).

The spelling of 1442131320240 in words is "one trillion, four hundred forty-two billion, one hundred thirty-one million, three hundred twenty thousand, two hundred forty".