442224204320304 has 480 divisors, whose sum is σ = 1457824687248384. Its totient is φ = 122545214668800.

The previous prime is 442224204320263. The next prime is 442224204320341. The reversal of 442224204320304 is 403023402422244.

442224204320304 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 2 + 4 + 20 + 4 + 320 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152174892 + ... + 1152558644.

Almost surely, 2^{442224204320304} 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 442224204320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728912343624192).

442224204320304 is an abundant number, since it is smaller than the sum of its proper divisors (1015600482928080).

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

442224204320304 is a wasteful number, since it uses less digits than its factorization.

442224204320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384105 (or 384096 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 442224204320304 its reverse (403023402422244), we get a palindrome (845247606742548).

The spelling of 442224204320304 in words is "four hundred forty-two trillion, two hundred twenty-four billion, two hundred four million, three hundred twenty thousand, three hundred four".