412225118126080 has 720 divisors, whose sum is σ = 1179376153095168. Its totient is φ = 135477500313600.

The previous prime is 412225118126071. The next prime is 412225118126089. The reversal of 412225118126080 is 80621811522214.

It is an interprime number because it is at equal distance from previous prime (412225118126071) and next prime (412225118126089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412225118126089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58965111385 + ... + 58965118375.

Almost surely, 2^{412225118126080} is an apocalyptic number.

412225118126080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412225118126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589688076547584).

412225118126080 is an abundant number, since it is smaller than the sum of its proper divisors (767151034969088).

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

412225118126080 is an equidigital number, since it uses as much as digits as its factorization.

412225118126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

Adding to 412225118126080 its reverse (80621811522214), we get a palindrome (492846929648294).

The spelling of 412225118126080 in words is "four hundred twelve trillion, two hundred twenty-five billion, one hundred eighteen million, one hundred twenty-six thousand, eighty".