42091250401729 has 9 divisors (see below), whose sum is σ = 42792985063881. Its totient is φ = 41400840636720.

The previous prime is 42091250401723. The next prime is 42091250401793. The reversal of 42091250401729 is 92710405219024.

The square root of 42091250401729 is 6487777.

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

It can be written as a sum of positive squares in 4 ways, for example, as 665962084225 + 41425288317504 = 816065^2 + 6436248^2 .

It is not a de Polignac number, because 42091250401729 - 2²⁵ = 42091216847297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42091250401723) 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, 395701219 + ... + 395807575.

It is an arithmetic number, because the mean of its divisors is an integer number (4754776118209).

Almost surely, 2^{42091250401729} is an apocalyptic number.

42091250401729 is the 6487777-th square number.

42091250401729 is the 3243889-th centered octagonal number.

It is an amenable number.

42091250401729 is a deficient number, since it is larger than the sum of its proper divisors (701734662152).

42091250401729 is an frugal number, since it uses more digits than its factorization.

42091250401729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212836 (or 106418 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

It can be divided in two parts, 420912 and 50401729, that added together give a square (50822641 = 7129²).

The spelling of 42091250401729 in words is "forty-two trillion, ninety-one billion, two hundred fifty million, four hundred one thousand, seven hundred twenty-nine".