413686781456 has 80 divisors (see below), whose sum is σ = 870676825200. Its totient is φ = 189279037440.

The previous prime is 413686781437. The next prime is 413686781479. The reversal of 413686781456 is 654187686314.

It can be written as a sum of positive squares in 8 ways, for example, as 60712960000 + 352973821456 = 246400^2 + 594116^2 .

It is a super-2 number, since 2×413686781456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413686781395 and 413686781404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12541946 + ... + 12574886.

It is an arithmetic number, because the mean of its divisors is an integer number (10883460315).

Almost surely, 2^413686781456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413686781456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435338412600).

413686781456 is an abundant number, since it is smaller than the sum of its proper divisors (456990043744).

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

413686781456 is a wasteful number, since it uses less digits than its factorization.

413686781456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33484 (or 33478 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 59.

The spelling of 413686781456 in words is "four hundred thirteen billion, six hundred eighty-six million, seven hundred eighty-one thousand, four hundred fifty-six".