42008195965129 has 9 divisors (see below), whose sum is σ = 42289223556909. Its totient is φ = 41729023785900.

The previous prime is 42008195965123. The next prime is 42008195965199. The reversal of 42008195965129 is 92156959180024.

The square root of 42008195965129 is 6481373.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 42008195965129 - 2³⁵ = 41973836226761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42008195965123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 978665862 + ... + 978708784.

Almost surely, 2^{42008195965129} is an apocalyptic number.

42008195965129 is the 6481373-rd square number.

42008195965129 is the 3240687-th centered octagonal number.

It is an amenable number.

42008195965129 is a deficient number, since it is larger than the sum of its proper divisors (281027591780).

42008195965129 is an frugal number, since it uses more digits than its factorization.

42008195965129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86148 (or 43074 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 42008195965129 in words is "forty-two trillion, eight billion, one hundred ninety-five million, nine hundred sixty-five thousand, one hundred twenty-nine".