42829035138 has 18 divisors (see below), whose sum is σ = 92798145219. Its totient is φ = 14276052372.

The previous prime is 42829035127. The next prime is 42829035169. The reversal of 42829035138 is 83153092824.

42829035138 is a `hidden beast` number, since 4 + 2 + 8 + 290 + 351 + 3 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21414517569 + 21414517569 = 146337^2 + 146337^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=146337.

It is a junction number, because it is equal to n+sod(n) for n = 42829035093 and 42829035102.

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 8 ways as a sum of consecutive naturals, for example, 853633 + ... + 902411.

Almost surely, 2^42829035138 is an apocalyptic number.

42829035138 is an abundant number, since it is smaller than the sum of its proper divisors (49969110081).

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

42829035138 is an frugal number, since it uses more digits than its factorization.

42829035138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97566 (or 48784 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42829035138 in words is "forty-two billion, eight hundred twenty-nine million, thirty-five thousand, one hundred thirty-eight".