442466171200 has 168 divisors, whose sum is σ = 1099060227072. Its totient is φ = 175313940480.

The previous prime is 442466171183. The next prime is 442466171201. The reversal of 442466171200 is 2171664244.

It is a self number, because there is not a number n which added to its sum of digits gives 442466171200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442466171201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168045084 + ... + 168047716.

Almost surely, 2^442466171200 is an apocalyptic number.

442466171200 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 442466171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549530113536).

442466171200 is an abundant number, since it is smaller than the sum of its proper divisors (656594055872).

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

442466171200 is a wasteful number, since it uses less digits than its factorization.

442466171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 442466171200 in words is "four hundred forty-two billion, four hundred sixty-six million, one hundred seventy-one thousand, two hundred".