441421322342000 has 960 divisors, whose sum is σ = 1458255057202944. Its totient is φ = 125744256000000.

The previous prime is 441421322341973. The next prime is 441421322342009. The reversal of 441421322342000 is 243223124144.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441421322342009) 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 191 ways as a sum of consecutive naturals, for example, 2224122770 + ... + 2224321230.

Almost surely, 2^{441421322342000} is an apocalyptic number.

441421322342000 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 441421322342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729127528601472).

441421322342000 is an abundant number, since it is smaller than the sum of its proper divisors (1016833734860944).

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

441421322342000 is a wasteful number, since it uses less digits than its factorization.

441421322342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198627 (or 198600 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 441421322342000 its reverse (243223124144), we get a palindrome (441664545466144).

The spelling of 441421322342000 in words is "four hundred forty-one trillion, four hundred twenty-one billion, three hundred twenty-two million, three hundred forty-two thousand".