442313323101144 has 128 divisors (see below), whose sum is σ = 1340349736896000. Its totient is φ = 134033706979200.

The previous prime is 442313323101121. The next prime is 442313323101157. The reversal of 442313323101144 is 441101323313244.

442313323101144 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 1 + 332 + 310 + 1 + 1 + 4 + 4 = 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 = 442313323101099 and 442313323101108.

It is a congruent number.

It is an unprimeable number.

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, 841884454 + ... + 842409674.

It is an arithmetic number, because the mean of its divisors is an integer number (10471482319500).

Almost surely, 2^{442313323101144} is an apocalyptic number.

442313323101144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442313323101144 is an abundant number, since it is smaller than the sum of its proper divisors (898036413794856).

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

442313323101144 is a wasteful number, since it uses less digits than its factorization.

442313323101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879686 (or 879676 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 442313323101144 its reverse (441101323313244), we get a palindrome (883414646414388).

The spelling of 442313323101144 in words is "four hundred forty-two trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred one thousand, one hundred forty-four".