434134360000 has 280 divisors, whose sum is σ = 1186125755760. Its totient is φ = 156288000000.

The previous prime is 434134359929. The next prime is 434134360031. The reversal of 434134360000 is 63431434.

It is a congruent number.

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, 44435116 + ... + 44444884.

Almost surely, 2^434134360000 is an apocalyptic number.

434134360000 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 434134360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593062877880).

434134360000 is an abundant number, since it is smaller than the sum of its proper divisors (751991395760).

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

434134360000 is a wasteful number, since it uses less digits than its factorization.

434134360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 434134360000 its reverse (63431434), we get a palindrome (434197791434).

The spelling of 434134360000 in words is "four hundred thirty-four billion, one hundred thirty-four million, three hundred sixty thousand".