442104024120 has 128 divisors (see below), whose sum is σ = 1447608464640. Its totient is φ = 107123210240.

The previous prime is 442104024113. The next prime is 442104024151. The reversal of 442104024120 is 21420401244.

It is a super-4 number, since 4×442104024120⁴ (a number of 48 digits) contains 4444 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593024 + ... + 2758256.

It is an arithmetic number, because the mean of its divisors is an integer number (11309441130).

Almost surely, 2^442104024120 is an apocalyptic number.

442104024120 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 442104024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723804232320).

442104024120 is an abundant number, since it is smaller than the sum of its proper divisors (1005504440520).

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

442104024120 is a wasteful number, since it uses less digits than its factorization.

442104024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167285 (or 167281 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 442104024120 its reverse (21420401244), we get a palindrome (463524425364).

The spelling of 442104024120 in words is "four hundred forty-two billion, one hundred four million, twenty-four thousand, one hundred twenty".