442400204204 has 72 divisors (see below), whose sum is σ = 916706170800. Its totient is φ = 186218524800.

The previous prime is 442400204177. The next prime is 442400204237. The reversal of 442400204204 is 402402004244.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8234822 + ... + 8288370.

It is an arithmetic number, because the mean of its divisors is an integer number (12732030150).

Almost surely, 2^442400204204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442400204204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458353085400).

442400204204 is an abundant number, since it is smaller than the sum of its proper divisors (474305966596).

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

442400204204 is a wasteful number, since it uses less digits than its factorization.

442400204204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54319 (or 54310 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 442400204204 its reverse (402402004244), we get a palindrome (844802208448).

The spelling of 442400204204 in words is "four hundred forty-two billion, four hundred million, two hundred four thousand, two hundred four".