442708431280657 has 8 divisors (see below), whose sum is σ = 442861801452000. Its totient is φ = 442555062977664.

The previous prime is 442708431280651. The next prime is 442708431280673. The reversal of 442708431280657 is 756082134807244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442708431280657 - 2⁷ = 442708431280529 is a prime.

It is a super-3 number, since 3×442708431280657³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442708431280595 and 442708431280604.

It is not an unprimeable number, because it can be changed into a prime (442708431280651) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 612087969 + ... + 612810817.

It is an arithmetic number, because the mean of its divisors is an integer number (55357725181500).

Almost surely, 2^{442708431280657} is an apocalyptic number.

It is an amenable number.

442708431280657 is a deficient number, since it is larger than the sum of its proper divisors (153370171343).

442708431280657 is a wasteful number, since it uses less digits than its factorization.

442708431280657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934175.

The product of its (nonzero) digits is 72253440, while the sum is 61.

The spelling of 442708431280657 in words is "four hundred forty-two trillion, seven hundred eight billion, four hundred thirty-one million, two hundred eighty thousand, six hundred fifty-seven".