442432010000 has 50 divisors (see below), whose sum is σ = 1071172163622. Its totient is φ = 176972800000.

The previous prime is 442432009979. The next prime is 442432010011. The reversal of 442432010000 is 10234244.

It can be written as a sum of positive squares in 5 ways, for example, as 305981560336 + 136450449664 = 553156^2 + 369392^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22111601 + ... + 22131600.

Almost surely, 2^442432010000 is an apocalyptic number.

442432010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442432010000 is an abundant number, since it is smaller than the sum of its proper divisors (628740153622).

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

442432010000 is an equidigital number, since it uses as much as digits as its factorization.

442432010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44243229 (or 44243208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442432010000 its reverse (10234244), we get a palindrome (442442244244).

The spelling of 442432010000 in words is "four hundred forty-two billion, four hundred thirty-two million, ten thousand".