442442224413024 has 48 divisors (see below), whose sum is σ = 1266993642640320. Its totient is φ = 134073401336960.

The previous prime is 442442224413023. The next prime is 442442224413061. The reversal of 442442224413024 is 420314422244244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442442224413023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209489688534 + ... + 209489690645.

It is an arithmetic number, because the mean of its divisors is an integer number (26395700888340).

Almost surely, 2^{442442224413024} is an apocalyptic number.

442442224413024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442442224413024 is an abundant number, since it is smaller than the sum of its proper divisors (824551418227296).

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

442442224413024 is a wasteful number, since it uses less digits than its factorization.

442442224413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418979379203 (or 418979379195 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

Adding to 442442224413024 its reverse (420314422244244), we get a palindrome (862756646657268).

The spelling of 442442224413024 in words is "four hundred forty-two trillion, four hundred forty-two billion, two hundred twenty-four million, four hundred thirteen thousand, twenty-four".