413212409856 has 459 divisors, whose sum is σ = 1280840623023. Its totient is φ = 133294325760.

The previous prime is 413212409851. The next prime is 413212409893. The reversal of 413212409856 is 658904212314.

The square root of 413212409856 is 642816.

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

413212409856 is a `hidden beast` number, since 4 + 1 + 321 + 240 + 9 + 85 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (413212409851) 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, 13329432561 + ... + 13329432591.

Almost surely, 2^413212409856 is an apocalyptic number.

413212409856 is the 642816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413212409856

413212409856 is an abundant number, since it is smaller than the sum of its proper divisors (867628213167).

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

413212409856 is an frugal number, since it uses more digits than its factorization.

413212409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 413212409856 in words is "four hundred thirteen billion, two hundred twelve million, four hundred nine thousand, eight hundred fifty-six".