442220411000 has 128 divisors (see below), whose sum is σ = 1063764187200. Its totient is φ = 171945331200.

The previous prime is 442220410979. The next prime is 442220411021. The reversal of 442220411000 is 114022244.

It is an interprime number because it is at equal distance from previous prime (442220410979) and next prime (442220411021).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43913966 + ... + 43924034.

Almost surely, 2^442220411000 is an apocalyptic number.

442220411000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442220411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531882093600).

442220411000 is an abundant number, since it is smaller than the sum of its proper divisors (621543776200).

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

442220411000 is a wasteful number, since it uses less digits than its factorization.

442220411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 442220411000 its reverse (114022244), we get a palindrome (442334433244).

The spelling of 442220411000 in words is "four hundred forty-two billion, two hundred twenty million, four hundred eleven thousand".