42120827683 has 16 divisors (see below), whose sum is σ = 46102082400. Its totient is φ = 38165057280.

The previous prime is 42120827677. The next prime is 42120827717. The reversal of 42120827683 is 38672802124.

42120827683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42120827683 - 2²⁵ = 42087273251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42120827653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11933863 + ... + 11937391.

It is an arithmetic number, because the mean of its divisors is an integer number (2881380150).

Almost surely, 2^42120827683 is an apocalyptic number.

42120827683 is a deficient number, since it is larger than the sum of its proper divisors (3981254717).

42120827683 is a wasteful number, since it uses less digits than its factorization.

42120827683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822.

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 42120827683 in words is "forty-two billion, one hundred twenty million, eight hundred twenty-seven thousand, six hundred eighty-three".