434130431243000 has 128 divisors (see below), whose sum is σ = 1061713223101440. Its totient is φ = 165838836240000.

The previous prime is 434130431242997. The next prime is 434130431243053. The reversal of 434130431243000 is 342134031434.

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, 443606 + ... + 29469605.

It is an arithmetic number, because the mean of its divisors is an integer number (8294634555480).

Almost surely, 2^{434130431243000} is an apocalyptic number.

434130431243000 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 434130431243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530856611550720).

434130431243000 is an abundant number, since it is smaller than the sum of its proper divisors (627582791858440).

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

434130431243000 is a wasteful number, since it uses less digits than its factorization.

434130431243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29913886 (or 29913872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 434130431243000 its reverse (342134031434), we get a palindrome (434472565274434).

The spelling of 434130431243000 in words is "four hundred thirty-four trillion, one hundred thirty billion, four hundred thirty-one million, two hundred forty-three thousand".