413342101243314 has 48 divisors (see below), whose sum is σ = 904947191679960. Its totient is φ = 136340281036800.

The previous prime is 413342101243277. The next prime is 413342101243327.

413342101243314 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 4 + 210 + 1 + 2 + 433 + 1 + 4 = 666.

413342101243314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 378565782092289 + 34776319151025 = 19456767^2 + 5897145^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60291727 + ... + 66796530.

Almost surely, 2^{413342101243314} is an apocalyptic number.

413342101243314 is an abundant number, since it is smaller than the sum of its proper divisors (491605090436646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413342101243314 is a wasteful number, since it uses less digits than its factorization.

413342101243314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127090155 (or 127090152 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 41334210 and 1243314, that added together give a palindrome (42577524).

The spelling of 413342101243314 in words is "four hundred thirteen trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, three hundred fourteen".