442020133104 has 80 divisors (see below), whose sum is σ = 1245968645760. Its totient is φ = 133915866880.

The previous prime is 442020133081. The next prime is 442020133169. The reversal of 442020133104 is 401331020244.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2358067 + ... + 2538605.

It is an arithmetic number, because the mean of its divisors is an integer number (15574608072).

Almost surely, 2^442020133104 is an apocalyptic number.

442020133104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442020133104 is an abundant number, since it is smaller than the sum of its proper divisors (803948512656).

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

442020133104 is a wasteful number, since it uses less digits than its factorization.

442020133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185198 (or 185192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 442020133104 its reverse (401331020244), we get a palindrome (843351153348).

The spelling of 442020133104 in words is "four hundred forty-two billion, twenty million, one hundred thirty-three thousand, one hundred four".