413353727353314 has 128 divisors (see below), whose sum is σ = 1012094789080320. Its totient is φ = 124005816000000.

The previous prime is 413353727353309. The next prime is 413353727353349.

413353727353314 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 5 + 3 + 7 + 273 + 53 + 314 = 666.

413353727353314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413353727353314² (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 63 ways as a sum of consecutive naturals, for example, 593652654 + ... + 594348534.

It is an arithmetic number, because the mean of its divisors is an integer number (7906990539690).

Almost surely, 2^{413353727353314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413353727353314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506047394540160).

413353727353314 is an abundant number, since it is smaller than the sum of its proper divisors (598741061727006).

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

413353727353314 is a wasteful number, since it uses less digits than its factorization.

413353727353314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705905 (or 705899 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 54.

The spelling of 413353727353314 in words is "four hundred thirteen trillion, three hundred fifty-three billion, seven hundred twenty-seven million, three hundred fifty-three thousand, three hundred fourteen".