442688541993 has 96 divisors (see below), whose sum is σ = 714563491200. Its totient is φ = 263027865600.

The previous prime is 442688541983. The next prime is 442688542073. The reversal of 442688541993 is 399145886244.

442688541993 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 88 + 541 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 442688541993 - 2⁵ = 442688541961 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 442688541993.

It is not an unprimeable number, because it can be changed into a prime (442688541983) 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 95 ways as a sum of consecutive naturals, for example, 22761153 + ... + 22780593.

It is an arithmetic number, because the mean of its divisors is an integer number (7443369700).

Almost surely, 2^442688541993 is an apocalyptic number.

It is an amenable number.

442688541993 is a deficient number, since it is larger than the sum of its proper divisors (271874949207).

442688541993 is a wasteful number, since it uses less digits than its factorization.

442688541993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623 (or 19620 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 442688541993 in words is "four hundred forty-two billion, six hundred eighty-eight million, five hundred forty-one thousand, nine hundred ninety-three".