434143324113000 has 128 divisors (see below), whose sum is σ = 1364271972336000. Its totient is φ = 114938664115200.

The previous prime is 434143324112951. The next prime is 434143324113049. The reversal of 434143324113000 is 311423341434.

It is an interprime number because it is at equal distance from previous prime (434143324112951) and next prime (434143324113049).

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, 520138545 + ... + 520972544.

It is an arithmetic number, because the mean of its divisors is an integer number (10658374783875).

Almost surely, 2^{434143324113000} is an apocalyptic number.

434143324113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434143324113000 is an abundant number, since it is smaller than the sum of its proper divisors (930128648223000).

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

434143324113000 is a wasteful number, since it uses less digits than its factorization.

434143324113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041111252 (or 1041111238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 434143324113000 its reverse (311423341434), we get a palindrome (434454747454434).

The spelling of 434143324113000 in words is "four hundred thirty-four trillion, one hundred forty-three billion, three hundred twenty-four million, one hundred thirteen thousand".