442004404000 has 96 divisors (see below), whose sum is σ = 1086314432112. Its totient is φ = 176751360000.

The previous prime is 442004403989. The next prime is 442004404021. The reversal of 442004404000 is 404400244.

It can be written as a sum of positive squares in 8 ways, for example, as 18521032464 + 423483371536 = 136092^2 + 650756^2 .

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, 16070260 + ... + 16097740.

Almost surely, 2^442004404000 is an apocalyptic number.

442004404000 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 442004404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543157216056).

442004404000 is an abundant number, since it is smaller than the sum of its proper divisors (644310028112).

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

442004404000 is a wasteful number, since it uses less digits than its factorization.

442004404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31527 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 442004404000 its reverse (404400244), we get a palindrome (442408804244).

The spelling of 442004404000 in words is "four hundred forty-two billion, four million, four hundred four thousand".