412422020224214 has 192 divisors, whose sum is σ = 842598675072000. Its totient is φ = 147314822688000.

The previous prime is 412422020224129. The next prime is 412422020224241.

It is a happy number.

412422020224214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34912549772 + ... + 34912561584.

It is an arithmetic number, because the mean of its divisors is an integer number (4388534766000).

Almost surely, 2^{412422020224214} is an apocalyptic number.

412422020224214 is an abundant number, since it is smaller than the sum of its proper divisors (430176654847786).

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

412422020224214 is a wasteful number, since it uses less digits than its factorization.

412422020224214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22507 (or 22496 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 412422020224214 in words is "four hundred twelve trillion, four hundred twenty-two billion, twenty million, two hundred twenty-four thousand, two hundred fourteen".