441234122430000 has 200 divisors, whose sum is σ = 1424391739988800. Its totient is φ = 117660023712000.

The previous prime is 441234122429987. The next prime is 441234122430019. The reversal of 441234122430000 is 34221432144.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 441234122430000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1840050111 + ... + 1840289889.

It is an arithmetic number, because the mean of its divisors is an integer number (7121958699944).

Almost surely, 2^{441234122430000} is an apocalyptic number.

441234122430000 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 441234122430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712195869994400).

441234122430000 is an abundant number, since it is smaller than the sum of its proper divisors (983157617558800).

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

441234122430000 is a wasteful number, since it uses less digits than its factorization.

441234122430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301149 (or 301128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 441234122430000 its reverse (34221432144), we get a palindrome (441268343862144).

The spelling of 441234122430000 in words is "four hundred forty-one trillion, two hundred thirty-four billion, one hundred twenty-two million, four hundred thirty thousand".