442211123424 has 48 divisors (see below), whose sum is σ = 1326633372288. Its totient is φ = 126346035072.

The previous prime is 442211123413. The next prime is 442211123491. The reversal of 442211123424 is 424321112244.

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

It is a super-2 number, since 2×442211123424² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442211123391 and 442211123400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329025462 + ... + 329026805.

It is an arithmetic number, because the mean of its divisors is an integer number (27638195256).

Almost surely, 2^442211123424 is an apocalyptic number.

It is an amenable number.

442211123424 is an abundant number, since it is smaller than the sum of its proper divisors (884422248864).

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

442211123424 is a wasteful number, since it uses less digits than its factorization.

442211123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658052287 (or 658052279 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 442211123424 its reverse (424321112244), we get a palindrome (866532235668).

The spelling of 442211123424 in words is "four hundred forty-two billion, two hundred eleven million, one hundred twenty-three thousand, four hundred twenty-four".