39321314790241 has 27 divisors (see below), whose sum is σ = 45914280782713. Its totient is φ = 33642902395520.

The previous prime is 39321314790221. The next prime is 39321314790271. The reversal of 39321314790241 is 14209741312393.

The square root of 39321314790241 is 6270671.

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 12785423100241 + 26535891690000 = 3575671^2 + 5151300^2 .

It is not a de Polignac number, because 39321314790241 - 2¹¹ = 39321314788193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39321314790221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1172598711 + ... + 1172632243.

Almost surely, 2^{39321314790241} is an apocalyptic number.

39321314790241 is the 6270671-st square number.

39321314790241 is the 3135336-th centered octagonal number.

It is an amenable number.

39321314790241 is a deficient number, since it is larger than the sum of its proper divisors (6592965992472).

39321314790241 is an frugal number, since it uses more digits than its factorization.

39321314790241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67122 (or 33561 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 39321314790241 in words is "thirty-nine trillion, three hundred twenty-one billion, three hundred fourteen million, seven hundred ninety thousand, two hundred forty-one".