413445544314 has 64 divisors (see below), whose sum is σ = 950115778560. Its totient is φ = 118620529920.

The previous prime is 413445544307. The next prime is 413445544319.

413445544314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413445544314² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413445544319) 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 31 ways as a sum of consecutive naturals, for example, 1986274 + ... + 2184530.

It is an arithmetic number, because the mean of its divisors is an integer number (14845559040).

Almost surely, 2^413445544314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413445544314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475057889280).

413445544314 is an abundant number, since it is smaller than the sum of its proper divisors (536670234246).

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

413445544314 is a wasteful number, since it uses less digits than its factorization.

413445544314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199955.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 413445 and 544314, that added together give a palindrome (957759).

The spelling of 413445544314 in words is "four hundred thirteen billion, four hundred forty-five million, five hundred forty-four thousand, three hundred fourteen".