441234223430000 has 1800 divisors, whose sum is σ = 1505318812273584. Its totient is φ = 123986903040000.

The previous prime is 441234223429973. The next prime is 441234223430027. The reversal of 441234223430000 is 34322432144.

It is an interprime number because it is at equal distance from previous prime (441234223429973) and next prime (441234223430027).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 33143103344 + ... + 33143116656.

Almost surely, 2^{441234223430000} is an apocalyptic number.

441234223430000 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 441234223430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752659406136792).

441234223430000 is an abundant number, since it is smaller than the sum of its proper divisors (1064084588843584).

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

441234223430000 is a wasteful number, since it uses less digits than its factorization.

441234223430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 441234223430000 its reverse (34322432144), we get a palindrome (441268545862144).

The spelling of 441234223430000 in words is "four hundred forty-one trillion, two hundred thirty-four billion, two hundred twenty-three million, four hundred thirty thousand".