442718040753 has 12 divisors (see below), whose sum is σ = 642298717008. Its totient is φ = 293845159320.

The previous prime is 442718040749. The next prime is 442718040757. The reversal of 442718040753 is 357040817244.

442718040753 is a `hidden beast` number, since 4 + 427 + 180 + 40 + 7 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (442718040749) and next prime (442718040757).

It is not a de Polignac number, because 442718040753 - 2² = 442718040749 is a prime.

It is a super-3 number, since 3×442718040753³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442718040699 and 442718040708.

It is not an unprimeable number, because it can be changed into a prime (442718040757) 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 11 ways as a sum of consecutive naturals, for example, 108347943 + ... + 108352028.

It is an arithmetic number, because the mean of its divisors is an integer number (53524893084).

Almost surely, 2^442718040753 is an apocalyptic number.

It is an amenable number.

442718040753 is a deficient number, since it is larger than the sum of its proper divisors (199580676255).

442718040753 is a wasteful number, since it uses less digits than its factorization.

442718040753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216700204 (or 216700201 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

Adding to 442718040753 its reverse (357040817244), we get a palindrome (799758857997).

The spelling of 442718040753 in words is "four hundred forty-two billion, seven hundred eighteen million, forty thousand, seven hundred fifty-three".