42422817024 has 243 divisors, whose sum is σ = 142517799333. Its totient is φ = 12101031936.

The previous prime is 42422817007. The next prime is 42422817029. The reversal of 42422817024 is 42071822424.

The square root of 42422817024 is 205968.

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

42422817024 is a `hidden beast` number, since 42 + 422 + 8 + 170 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 42284519424 = 11760^2 + 205632^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42422817024.

It is not an unprimeable number, because it can be changed into a prime (42422817029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69204942 + ... + 69205554.

Almost surely, 2^42422817024 is an apocalyptic number.

42422817024 is the 205968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42422817024

42422817024 is an abundant number, since it is smaller than the sum of its proper divisors (100094982309).

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

42422817024 is an frugal number, since it uses more digits than its factorization.

42422817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Multiplying 42422817024 by its sum of digits (36), we get a square (1527221412864 = 1235808²).

42422817024 divided by its sum of digits (36) gives a square (1178411584 = 34328²).

The spelling of 42422817024 in words is "forty-two billion, four hundred twenty-two million, eight hundred seventeen thousand, twenty-four".