442000000040 has 64 divisors (see below), whose sum is σ = 1032309999360. Its totient is φ = 170201560320.

The previous prime is 442000000037. The next prime is 442000000069. The reversal of 442000000040 is 40000000244.

It is a junction number, because it is equal to n+sod(n) for n = 441999999961 and 442000000024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812422 + ... + 2041781.

It is an arithmetic number, because the mean of its divisors is an integer number (16129843740).

Almost surely, 2^442000000040 is an apocalyptic number.

442000000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442000000040 is an abundant number, since it is smaller than the sum of its proper divisors (590309999320).

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

442000000040 is a wasteful number, since it uses less digits than its factorization.

442000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854322 (or 3854318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 442000000040 its reverse (40000000244), we get a palindrome (482000000284).

The spelling of 442000000040 in words is "four hundred forty-two billion, forty", and thus it is an aban number.