413444412143300 has 36 divisors (see below), whose sum is σ = 897178040052756. Its totient is φ = 165377089152000.

The previous prime is 413444412143299. The next prime is 413444412143309. The reversal of 413444412143300 is 3341214444314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 44339164642756 + 369105247500544 = 6658766^2 + 19212112^2 .

It is not an unprimeable number, because it can be changed into a prime (413444412143309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16517984 + ... + 33162216.

Almost surely, 2^{413444412143300} is an apocalyptic number.

It is an amenable number.

413444412143300 is an abundant number, since it is smaller than the sum of its proper divisors (483733627909456).

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

413444412143300 is a wasteful number, since it uses less digits than its factorization.

413444412143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16892648 (or 16892641 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 413444412143300 its reverse (3341214444314), we get a palindrome (416785626587614).

The spelling of 413444412143300 in words is "four hundred thirteen trillion, four hundred forty-four billion, four hundred twelve million, one hundred forty-three thousand, three hundred".