10004340000000 has 288 divisors, whose sum is σ = 33282781983360. Its totient is φ = 2667808000000.

The previous prime is 10004339999971. The next prime is 10004340000019. The reversal of 10004340000000 is 4340001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 59916631 + ... + 60083369.

It is an arithmetic number, because the mean of its divisors is an integer number (115565215220).

Almost surely, 2^{10004340000000} is an apocalyptic number.

10004340000000 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 10004340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641390991680).

10004340000000 is an abundant number, since it is smaller than the sum of its proper divisors (23278441983360).

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

10004340000000 is an frugal number, since it uses more digits than its factorization.

10004340000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166793 (or 166749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10004340000000 its reverse (4340001), we get a palindrome (10004344340001).

The spelling of 10004340000000 in words is "ten trillion, four billion, three hundred forty million", and thus it is an aban number.