10034410000 has 100 divisors (see below), whose sum is σ = 24472478800. Its totient is φ = 3984336000.

The previous prime is 10034409977. The next prime is 10034410019. The reversal of 10034410000 is 1443001.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1386391 + ... + 1393609.

It is an arithmetic number, because the mean of its divisors is an integer number (244724788).

Almost surely, 2^10034410000 is an apocalyptic number.

10034410000 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 10034410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236239400).

10034410000 is an abundant number, since it is smaller than the sum of its proper divisors (14438068800).

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

10034410000 is an equidigital number, since it uses as much as digits as its factorization.

10034410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10034410000 its reverse (1443001), we get a palindrome (10035853001).

The spelling of 10034410000 in words is "ten billion, thirty-four million, four hundred ten thousand".