424057975358224 has 135 divisors (see below), whose sum is σ = 859064471557279. Its totient is φ = 202776825502720.

The previous prime is 424057975358153. The next prime is 424057975358267. The reversal of 424057975358224 is 422853579750424.

The square root of 424057975358224 is 20592668.

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

It can be written as a sum of positive squares in 4 ways, for example, as 146330150890000 + 277727824468224 = 12096700^2 + 16665168^2 .

It is a super-2 number, since 2×424057975358224² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 424057975358224.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269928691359 + ... + 269928692929.

Almost surely, 2^{424057975358224} is an apocalyptic number.

424057975358224 is the 20592668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424057975358224

424057975358224 is an abundant number, since it is smaller than the sum of its proper divisors (435006496199055).

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

424057975358224 is an frugal number, since it uses more digits than its factorization.

424057975358224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 67.

The spelling of 424057975358224 in words is "four hundred twenty-four trillion, fifty-seven billion, nine hundred seventy-five million, three hundred fifty-eight thousand, two hundred twenty-four".