13434411004300 has 144 divisors (see below), whose sum is σ = 34476114887424. Its totient is φ = 4479588000000.

The previous prime is 13434411004247. The next prime is 13434411004307. The reversal of 13434411004300 is 340011443431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13434411004307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951526 + ... + 5270125.

It is an arithmetic number, because the mean of its divisors is an integer number (239417464496).

Almost surely, 2^{13434411004300} is an apocalyptic number.

13434411004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434411004300 is an abundant number, since it is smaller than the sum of its proper divisors (21041703883124).

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

13434411004300 is a wasteful number, since it uses less digits than its factorization.

13434411004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221840 (or 6221833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13434411004300 its reverse (340011443431), we get a palindrome (13774422447731).

The spelling of 13434411004300 in words is "thirteen trillion, four hundred thirty-four billion, four hundred eleven million, four thousand, three hundred".