42886405767 has 32 divisors (see below), whose sum is σ = 60814107072. Its totient is φ = 26790027264.

The previous prime is 42886405759. The next prime is 42886405787. The reversal of 42886405767 is 76750468824.

It is not a de Polignac number, because 42886405767 - 2³ = 42886405759 is a prime.

It is a super-2 number, since 2×42886405767² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42886405717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12490683 + ... + 12494115.

It is an arithmetic number, because the mean of its divisors is an integer number (1900440846).

Almost surely, 2^42886405767 is an apocalyptic number.

42886405767 is a deficient number, since it is larger than the sum of its proper divisors (17927701305).

42886405767 is a wasteful number, since it uses less digits than its factorization.

42886405767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 42886405767 in words is "forty-two billion, eight hundred eighty-six million, four hundred five thousand, seven hundred sixty-seven".