442611824448 has 28 divisors (see below), whose sum is σ = 1171077119360. Its totient is φ = 147537274752.

The previous prime is 442611824381. The next prime is 442611824461. The reversal of 442611824448 is 844428116244.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 442611824397 and 442611824406.

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 3 ways as a sum of consecutive naturals, for example, 1152634768 + ... + 1152635151.

Almost surely, 2^442611824448 is an apocalyptic number.

442611824448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442611824448 is an abundant number, since it is smaller than the sum of its proper divisors (728465294912).

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

442611824448 is a wasteful number, since it uses less digits than its factorization.

442611824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305269934 (or 2305269924 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The spelling of 442611824448 in words is "four hundred forty-two billion, six hundred eleven million, eight hundred twenty-four thousand, four hundred forty-eight".