434130130000 has 200 divisors, whose sum is σ = 1204083919808. Its totient is φ = 148490496000.

The previous prime is 434130129977. The next prime is 434130130003. The reversal of 434130130000 is 31031434.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 434130130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434130130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30302839 + ... + 30317161.

Almost surely, 2^434130130000 is an apocalyptic number.

434130130000 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 434130130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602041959904).

434130130000 is an abundant number, since it is smaller than the sum of its proper divisors (769953789808).

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

434130130000 is a wasteful number, since it uses less digits than its factorization.

434130130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 434130130000 its reverse (31031434), we get a palindrome (434161161434).

The spelling of 434130130000 in words is "four hundred thirty-four billion, one hundred thirty million, one hundred thirty thousand".