444230130432200 has 384 divisors, whose sum is σ = 1190214964224000. Its totient is φ = 151045064755200.

The previous prime is 444230130432169. The next prime is 444230130432269. The reversal of 444230130432200 is 2234031032444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189923098631 + ... + 189923100969.

It is an arithmetic number, because the mean of its divisors is an integer number (3099518136000).

Almost surely, 2^{444230130432200} is an apocalyptic number.

444230130432200 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 444230130432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595107482112000).

444230130432200 is an abundant number, since it is smaller than the sum of its proper divisors (745984833791800).

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

444230130432200 is a wasteful number, since it uses less digits than its factorization.

444230130432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4676 counting only the distinct ones).

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

Adding to 444230130432200 its reverse (2234031032444), we get a palindrome (446464161464644).

The spelling of 444230130432200 in words is "four hundred forty-four trillion, two hundred thirty billion, one hundred thirty million, four hundred thirty-two thousand, two hundred".