413443181344314 has 96 divisors (see below), whose sum is σ = 940277273785920. Its totient is φ = 120959879040000.

The previous prime is 413443181344309. The next prime is 413443181344367.

413443181344314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454332909 + ... + 455241999.

It is an arithmetic number, because the mean of its divisors is an integer number (9794554935270).

Almost surely, 2^{413443181344314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413443181344314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470138636892960).

413443181344314 is an abundant number, since it is smaller than the sum of its proper divisors (526834092441606).

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

413443181344314 is a wasteful number, since it uses less digits than its factorization.

413443181344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930748 (or 930737 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 413443181344314 in words is "four hundred thirteen trillion, four hundred forty-three billion, one hundred eighty-one million, three hundred forty-four thousand, three hundred fourteen".