42138956673 has 160 divisors (see below), whose sum is σ = 74749796352. Its totient is φ = 23391244800.

The previous prime is 42138956663. The next prime is 42138956701. The reversal of 42138956673 is 37665983124.

42138956673 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 8 + 9 + 566 + 73 = 666.

It is not a de Polignac number, because 42138956673 - 2⁸ = 42138956417 is a prime.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (42138956663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71786686 + ... + 71787272.

Almost surely, 2^42138956673 is an apocalyptic number.

It is an amenable number.

42138956673 is a deficient number, since it is larger than the sum of its proper divisors (32610839679).

42138956673 is a wasteful number, since it uses less digits than its factorization.

42138956673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 42138956673 in words is "forty-two billion, one hundred thirty-eight million, nine hundred fifty-six thousand, six hundred seventy-three".