442273671168 has 384 divisors, whose sum is σ = 1465472736000. Its totient is φ = 115709313024.

The previous prime is 442273671167. The next prime is 442273671181. The reversal of 442273671168 is 861176372244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442273671168.

It is not an unprimeable number, because it can be changed into a prime (442273671167) 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, 27043858 + ... + 27060206.

It is an arithmetic number, because the mean of its divisors is an integer number (3816335250).

Almost surely, 2^442273671168 is an apocalyptic number.

442273671168 is a gapful number since it is divisible by the number (48) 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 442273671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732736368000).

442273671168 is an abundant number, since it is smaller than the sum of its proper divisors (1023199064832).

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

442273671168 is a wasteful number, since it uses less digits than its factorization.

442273671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16435 (or 16415 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 442273671168 in words is "four hundred forty-two billion, two hundred seventy-three million, six hundred seventy-one thousand, one hundred sixty-eight".