442200340100 has 72 divisors (see below), whose sum is σ = 993186931968. Its totient is φ = 170714966400.

The previous prime is 442200340097. The next prime is 442200340111. The reversal of 442200340100 is 1043002244.

It is a super-2 number, since 2×442200340100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965087 + ... + 1347513.

It is an arithmetic number, because the mean of its divisors is an integer number (13794262944).

Almost surely, 2^442200340100 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 442200340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496593465984).

442200340100 is an abundant number, since it is smaller than the sum of its proper divisors (550986591868).

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

442200340100 is a wasteful number, since it uses less digits than its factorization.

442200340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382845 (or 382838 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442200340100 its reverse (1043002244), we get a palindrome (443243342344).

The spelling of 442200340100 in words is "four hundred forty-two billion, two hundred million, three hundred forty thousand, one hundred".