413728025256 has 288 divisors, whose sum is σ = 1459659240000. Its totient is φ = 103371780096.

The previous prime is 413728025239. The next prime is 413728025257. The reversal of 413728025256 is 652520827314.

413728025256 is a `hidden beast` number, since 4 + 1 + 372 + 8 + 0 + 25 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (413728025257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1490520 + ... + 1746168.

It is an arithmetic number, because the mean of its divisors is an integer number (5068261250).

Almost surely, 2^413728025256 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 413728025256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729829620000).

413728025256 is an abundant number, since it is smaller than the sum of its proper divisors (1045931214744).

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

413728025256 is a wasteful number, since it uses less digits than its factorization.

413728025256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255713 (or 255693 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 413728025256 in words is "four hundred thirteen billion, seven hundred twenty-eight million, twenty-five thousand, two hundred fifty-six".