842323141440 has 1344 divisors, whose sum is σ = 3450901708800. Its totient is φ = 186450739200.

The previous prime is 842323141421. The next prime is 842323141469. The reversal of 842323141440 is 44141323248.

842323141440 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 231 + 414 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 842323141395 and 842323141404.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2010317551 + ... + 2010317969.

It is an arithmetic number, because the mean of its divisors is an integer number (2567635200).

Almost surely, 2^842323141440 is an apocalyptic number.

842323141440 is a gapful number since it is divisible by the number (80) 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 842323141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725450854400).

842323141440 is an abundant number, since it is smaller than the sum of its proper divisors (2608578567360).

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

842323141440 is a wasteful number, since it uses less digits than its factorization.

842323141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 842323141440 its reverse (44141323248), we get a palindrome (886464464688).

The spelling of 842323141440 in words is "eight hundred forty-two billion, three hundred twenty-three million, one hundred forty-one thousand, four hundred forty".