42668244286624 has 48 divisors (see below), whose sum is σ = 92547076287456. Its totient is φ = 19202630176000.

The previous prime is 42668244286607. The next prime is 42668244286667.

42668244286624 is nontrivially palindromic in base 10.

42668244286624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600046642 + ... + 600117745.

It is an arithmetic number, because the mean of its divisors is an integer number (1928064089322).

Almost surely, 2^{42668244286624} is an apocalyptic number.

42668244286624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42668244286624 is an abundant number, since it is smaller than the sum of its proper divisors (49878832000832).

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

42668244286624 is a wasteful number, since it uses less digits than its factorization.

42668244286624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200164509 (or 1200164501 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 64.

The spelling of 42668244286624 in words is "forty-two trillion, six hundred sixty-eight billion, two hundred forty-four million, two hundred eighty-six thousand, six hundred twenty-four".