442040410000 has 100 divisors (see below), whose sum is σ = 1223113378432. Its totient is φ = 151556688000.

The previous prime is 442040409997. The next prime is 442040410027. The reversal of 442040410000 is 14040244.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 442040410000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3087432 + ... + 3227431.

Almost surely, 2^442040410000 is an apocalyptic number.

442040410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442040410000 is an abundant number, since it is smaller than the sum of its proper divisors (781072968432).

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

442040410000 is an equidigital number, since it uses as much as digits as its factorization.

442040410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314898 (or 6314877 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 442040410000 its reverse (14040244), we get a palindrome (442054450244).

The spelling of 442040410000 in words is "four hundred forty-two billion, forty million, four hundred ten thousand".