42288417966 has 32 divisors (see below), whose sum is σ = 89596778400. Its totient is φ = 13260312576.

The previous prime is 42288417959. The next prime is 42288417967. The reversal of 42288417966 is 66971488224.

It is a super-2 number, since 2×42288417966² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288417967) 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 15 ways as a sum of consecutive naturals, for example, 102960 + ... + 308508.

It is an arithmetic number, because the mean of its divisors is an integer number (2799899325).

Almost surely, 2^42288417966 is an apocalyptic number.

42288417966 is an abundant number, since it is smaller than the sum of its proper divisors (47308360434).

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

42288417966 is a wasteful number, since it uses less digits than its factorization.

42288417966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207588.

The product of its digits is 9289728, while the sum is 57.

The spelling of 42288417966 in words is "forty-two billion, two hundred eighty-eight million, four hundred seventeen thousand, nine hundred sixty-six".