434112104344000 has 224 divisors, whose sum is σ = 1105321592044800. Its totient is φ = 168809643008000.

The previous prime is 434112104343989. The next prime is 434112104344027. The reversal of 434112104344000 is 443401211434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52149660 + ... + 59898340.

Almost surely, 2^{434112104344000} is an apocalyptic number.

434112104344000 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 434112104344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552660796022400).

434112104344000 is an abundant number, since it is smaller than the sum of its proper divisors (671209487700800).

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

434112104344000 is a wasteful number, since it uses less digits than its factorization.

434112104344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748904 (or 7748884 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 434112104344000 its reverse (443401211434), we get a palindrome (434555505555434).

The spelling of 434112104344000 in words is "four hundred thirty-four trillion, one hundred twelve billion, one hundred four million, three hundred forty-four thousand".