442314121300 has 72 divisors (see below), whose sum is σ = 987348055680. Its totient is φ = 171887788800.

The previous prime is 442314121261. The next prime is 442314121303. The reversal of 442314121300 is 3121413244.

It is a super-2 number, since 2×442314121300² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442314121303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754207 + ... + 1205593.

It is an arithmetic number, because the mean of its divisors is an integer number (13713167440).

Almost surely, 2^442314121300 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 442314121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493674027840).

442314121300 is an abundant number, since it is smaller than the sum of its proper divisors (545033934380).

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

442314121300 is a wasteful number, since it uses less digits than its factorization.

442314121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451681 (or 451674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 442314121300 its reverse (3121413244), we get a palindrome (445435534544).

The spelling of 442314121300 in words is "four hundred forty-two billion, three hundred fourteen million, one hundred twenty-one thousand, three hundred".