442932843024 has 675 divisors, whose sum is σ = 1585302148287. Its totient is φ = 119029067136.

The previous prime is 442932842971. The next prime is 442932843029. The reversal of 442932843024 is 420348239244.

It is a happy number.

The square root of 442932843024 is 665532.

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

442932843024 is a `hidden beast` number, since 44 + 29 + 3 + 284 + 302 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (442932843029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3186567147 + ... + 3186567285.

Almost surely, 2^442932843024 is an apocalyptic number.

442932843024 is the 665532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442932843024

442932843024 is an abundant number, since it is smaller than the sum of its proper divisors (1142369305263).

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

442932843024 is a wasteful number, since it uses less digits than its factorization.

442932843024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

It can be divided in two parts, 442932 and 843024, that added together give a square (1285956 = 1134²).

The spelling of 442932843024 in words is "four hundred forty-two billion, nine hundred thirty-two million, eight hundred forty-three thousand, twenty-four".