10000034310420 has 288 divisors, whose sum is σ = 37836186635520. Its totient is φ = 2076947066880.

The previous prime is 10000034310401. The next prime is 10000034310421. The reversal of 10000034310420 is 2401343000001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10000034310393 and 10000034310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000034310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29338494 + ... + 29677386.

It is an arithmetic number, because the mean of its divisors is an integer number (131375648040).

Almost surely, 2^{10000034310420} is an apocalyptic number.

10000034310420 is a gapful number since it is divisible by the number (10) 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 10000034310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918093317760).

10000034310420 is an abundant number, since it is smaller than the sum of its proper divisors (27836152325100).

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

10000034310420 is a wasteful number, since it uses less digits than its factorization.

10000034310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341055 (or 341050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10000034310420 its reverse (2401343000001), we get a palindrome (12401377310421).

The spelling of 10000034310420 in words is "ten trillion, thirty-four million, three hundred ten thousand, four hundred twenty".