412141422144 has 224 divisors, whose sum is σ = 1134282476160. Its totient is φ = 131997319168.

The previous prime is 412141422131. The next prime is 412141422167. The reversal of 412141422144 is 441224141214.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96903922 + ... + 96908174.

Almost surely, 2^412141422144 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 412141422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567141238080).

412141422144 is an abundant number, since it is smaller than the sum of its proper divisors (722141054016).

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

412141422144 is a wasteful number, since it uses less digits than its factorization.

412141422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4507 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 412141422144 its reverse (441224141214), we get a palindrome (853365563358).

The spelling of 412141422144 in words is "four hundred twelve billion, one hundred forty-one million, four hundred twenty-two thousand, one hundred forty-four".