42035368779167 has 16 divisors (see below), whose sum is σ = 45066294362880. Its totient is φ = 39118769555712.

The previous prime is 42035368779161. The next prime is 42035368779203. The reversal of 42035368779167 is 76197786353024.

It is a cyclic number.

It is not a de Polignac number, because 42035368779167 - 2¹⁶ = 42035368713631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42035368779097 and 42035368779106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035368779161) 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, 159542033 + ... + 159805290.

It is an arithmetic number, because the mean of its divisors is an integer number (2816643397680).

It is a 1-persistent number, because it is pandigital, but 2⋅42035368779167 = 84070737558334 is not.

Almost surely, 2^{42035368779167} is an apocalyptic number.

42035368779167 is a deficient number, since it is larger than the sum of its proper divisors (3030925583713).

42035368779167 is a wasteful number, since it uses less digits than its factorization.

42035368779167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319347502.

The product of its (nonzero) digits is 320060160, while the sum is 68.

The spelling of 42035368779167 in words is "forty-two trillion, thirty-five billion, three hundred sixty-eight million, seven hundred seventy-nine thousand, one hundred sixty-seven".