424322020223424 has 672 divisors, whose sum is σ = 1370981240516160. Its totient is φ = 124683632640000.

The previous prime is 424322020223399. The next prime is 424322020223483.

424322020223424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 2 + 2 + 0 + 2 + 0 + 223 + 424 = 666.

424322020223424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13172368342 + ... + 13172400554.

It is an arithmetic number, because the mean of its divisors is an integer number (2040150655530).

Almost surely, 2^{424322020223424} 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 424322020223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685490620258080).

424322020223424 is an abundant number, since it is smaller than the sum of its proper divisors (946659220292736).

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

424322020223424 is a wasteful number, since it uses less digits than its factorization.

424322020223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33069 (or 33056 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 424322020223424 in words is "four hundred twenty-four trillion, three hundred twenty-two billion, twenty million, two hundred twenty-three thousand, four hundred twenty-four".