10344410000 has 100 divisors (see below), whose sum is σ = 25189124400. Its totient is φ = 4113936000.

The previous prime is 10344409987. The next prime is 10344410009. The reversal of 10344410000 is 1444301.

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

It is not an unprimeable number, because it can be changed into a prime (10344410009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1787111 + ... + 1792889.

It is an arithmetic number, because the mean of its divisors is an integer number (251891244).

Almost surely, 2^10344410000 is an apocalyptic number.

10344410000 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 10344410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594562200).

10344410000 is an abundant number, since it is smaller than the sum of its proper divisors (14844714400).

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

10344410000 is an equidigital number, since it uses as much as digits as its factorization.

10344410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10344410000 its reverse (1444301), we get a palindrome (10345854301).

The spelling of 10344410000 in words is "ten billion, three hundred forty-four million, four hundred ten thousand".