434444030000 has 300 divisors, whose sum is σ = 1093758847632. Its totient is φ = 167079360000.

The previous prime is 434444029993. The next prime is 434444030029. The reversal of 434444030000 is 30444434.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568389862 + ... + 1568390138.

Almost surely, 2^434444030000 is an apocalyptic number.

434444030000 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 434444030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546879423816).

434444030000 is an abundant number, since it is smaller than the sum of its proper divisors (659314817632).

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

434444030000 is an equidigital number, since it uses as much as digits as its factorization.

434444030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 434444030000 its reverse (30444434), we get a palindrome (434474474434).

The spelling of 434444030000 in words is "four hundred thirty-four billion, four hundred forty-four million, thirty thousand".