442111200104 has 128 divisors (see below), whose sum is σ = 967072972800. Its totient is φ = 185589169920.

The previous prime is 442111200073. The next prime is 442111200107. The reversal of 442111200104 is 401002111244.

It is a super-2 number, since 2×442111200104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442111200107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256592987 + ... + 256594709.

It is an arithmetic number, because the mean of its divisors is an integer number (7555257600).

Almost surely, 2^442111200104 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 442111200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483536486400).

442111200104 is an abundant number, since it is smaller than the sum of its proper divisors (524961772696).

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

442111200104 is a wasteful number, since it uses less digits than its factorization.

442111200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 442111200104 its reverse (401002111244), we get a palindrome (843113311348).

The spelling of 442111200104 in words is "four hundred forty-two billion, one hundred eleven million, two hundred thousand, one hundred four".