412515841556196 has 243 divisors, whose sum is σ = 1239470951931849. Its totient is φ = 115342762542336.

The previous prime is 412515841556177. The next prime is 412515841556209. The reversal of 412515841556196 is 691655148515214.

The square root of 412515841556196 is 20310486.

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

412515841556196 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 1 + 5 + 8 + 4 + 1 + 5 + 5 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 367470266996196 + 45045574560000 = 19169514^2 + 6711600^2 .

It is a super-2 number, since 2×412515841556196² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40092894220 + ... + 40092904508.

Almost surely, 2^{412515841556196} is an apocalyptic number.

412515841556196 is the 20310486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412515841556196

412515841556196 is an abundant number, since it is smaller than the sum of its proper divisors (826955110375653).

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

412515841556196 is an equidigital number, since it uses as much as digits as its factorization.

412515841556196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696 (or 10348 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 63.

The spelling of 412515841556196 in words is "four hundred twelve trillion, five hundred fifteen billion, eight hundred forty-one million, five hundred fifty-six thousand, one hundred ninety-six".