314241442441199 has 16 divisors (see below), whose sum is σ = 386759195450880. Its totient is φ = 248630272282080.

The previous prime is 314241442441177. The next prime is 314241442441243. The reversal of 314241442441199 is 991144244142413.

It is a de Polignac number, because none of the positive numbers 2^k-314241442441199 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 314241442441199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314241442441139) 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, 89851112 + ... + 93282930.

It is an arithmetic number, because the mean of its divisors is an integer number (24172449715680).

Almost surely, 2^{314241442441199} is an apocalyptic number.

314241442441199 is a deficient number, since it is larger than the sum of its proper divisors (72517753009681).

314241442441199 is a wasteful number, since it uses less digits than its factorization.

314241442441199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438070.

The product of its digits is 3981312, while the sum is 53.

The spelling of 314241442441199 in words is "three hundred fourteen trillion, two hundred forty-one billion, four hundred forty-two million, four hundred forty-one thousand, one hundred ninety-nine".