42688482266000 has 80 divisors (see below), whose sum is σ = 103230955795968. Its totient is φ = 17073704624000.

The previous prime is 42688482265997. The next prime is 42688482266021. The reversal of 42688482266000 is 66228488624.

42688482266000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×42688482266000³ (a number of 42 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19275905 + ... + 21376095.

Almost surely, 2^{42688482266000} is an apocalyptic number.

42688482266000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42688482266000 is an abundant number, since it is smaller than the sum of its proper divisors (60542473529968).

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

42688482266000 is a wasteful number, since it uses less digits than its factorization.

42688482266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110377 (or 2110361 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 42688482266000 in words is "forty-two trillion, six hundred eighty-eight billion, four hundred eighty-two million, two hundred sixty-six thousand".