42129210673 has 16 divisors (see below), whose sum is σ = 46114358400. Its totient is φ = 38170137600.

The previous prime is 42129210667. The next prime is 42129210691. The reversal of 42129210673 is 37601292124.

It is a cyclic number.

It is not a de Polignac number, because 42129210673 - 2¹³ = 42129202481 is a prime.

It is a super-2 number, since 2×42129210673² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42129610673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4771603 + ... + 4780423.

It is an arithmetic number, because the mean of its divisors is an integer number (2882147400).

Almost surely, 2^42129210673 is an apocalyptic number.

It is an amenable number.

42129210673 is a deficient number, since it is larger than the sum of its proper divisors (3985147727).

42129210673 is a wasteful number, since it uses less digits than its factorization.

42129210673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 42129210673 in words is "forty-two billion, one hundred twenty-nine million, two hundred ten thousand, six hundred seventy-three".