413444707444314 has 64 divisors (see below), whose sum is σ = 1130788943450880. Its totient is φ = 109040362401600.

The previous prime is 413444707444291. The next prime is 413444707444333.

413444707444314 is a `hidden beast` number, since 4 + 1 + 34 + 4 + 470 + 74 + 44 + 31 + 4 = 666.

413444707444314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413444707444314² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42068036137 + ... + 42068045964.

It is an arithmetic number, because the mean of its divisors is an integer number (17668577241420).

Almost surely, 2^{413444707444314} is an apocalyptic number.

413444707444314 is an abundant number, since it is smaller than the sum of its proper divisors (717344236006566).

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

413444707444314 is a wasteful number, since it uses less digits than its factorization.

413444707444314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84136082132 (or 84136082126 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 54.

It can be divided in two parts, 41344470 and 7444314, that added together give a palindrome (48788784).

The spelling of 413444707444314 in words is "four hundred thirteen trillion, four hundred forty-four billion, seven hundred seven million, four hundred forty-four thousand, three hundred fourteen".