442163714100 has 144 divisors (see below), whose sum is σ = 1286925756480. Its totient is φ = 117210931200.

The previous prime is 442163714039. The next prime is 442163714119. The reversal of 442163714100 is 1417361244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119793255 + ... + 119796945.

It is an arithmetic number, because the mean of its divisors is an integer number (8936984420).

Almost surely, 2^442163714100 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 442163714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643462878240).

442163714100 is an abundant number, since it is smaller than the sum of its proper divisors (844762042380).

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

442163714100 is a wasteful number, since it uses less digits than its factorization.

442163714100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 442163714100 in words is "four hundred forty-two billion, one hundred sixty-three million, seven hundred fourteen thousand, one hundred".