42867664800 has 144 divisors (see below), whose sum is σ = 142937851392. Its totient is φ = 11152537600.

The previous prime is 42867664793. The next prime is 42867664811. The reversal of 42867664800 is 846676824.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 119424 + ... + 316223.

It is an arithmetic number, because the mean of its divisors is an integer number (992623968).

Almost surely, 2^42867664800 is an apocalyptic number.

42867664800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42867664800 is an abundant number, since it is smaller than the sum of its proper divisors (100070186592).

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

42867664800 is a wasteful number, since it uses less digits than its factorization.

42867664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435711 (or 435698 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 42867664800 in words is "forty-two billion, eight hundred sixty-seven million, six hundred sixty-four thousand, eight hundred".