413976155731216 has 135 divisors (see below), whose sum is σ = 871688893053069. Its totient is φ = 190372024267776.

The previous prime is 413976155731213. The next prime is 413976155731277. The reversal of 413976155731216 is 612137551679314.

The square root of 413976155731216 is 20346404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 154410545849616 + 259565609881600 = 12426204^2 + 16111040^2 .

It is not an unprimeable number, because it can be changed into a prime (413976155731211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394638851460 + ... + 394638852508.

Almost surely, 2^{413976155731216} is an apocalyptic number.

413976155731216 is the 20346404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413976155731216

413976155731216 is an abundant number, since it is smaller than the sum of its proper divisors (457712737321853).

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

413976155731216 is an frugal number, since it uses more digits than its factorization.

413976155731216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 1437 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 61.

The spelling of 413976155731216 in words is "four hundred thirteen trillion, nine hundred seventy-six billion, one hundred fifty-five million, seven hundred thirty-one thousand, two hundred sixteen".