10344034213324 has 72 divisors (see below), whose sum is σ = 21317862666240. Its totient is φ = 4302074355264.

The previous prime is 10344034213321. The next prime is 10344034213367. The reversal of 10344034213324 is 42331243044301.

It is a self number, because there is not a number n which added to its sum of digits gives 10344034213324.

It is not an unprimeable number, because it can be changed into a prime (10344034213321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14328867 + ... + 15033445.

It is an arithmetic number, because the mean of its divisors is an integer number (296081425920).

Almost surely, 2^{10344034213324} is an apocalyptic number.

10344034213324 is a gapful number since it is divisible by the number (14) 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 10344034213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658931333120).

10344034213324 is an abundant number, since it is smaller than the sum of its proper divisors (10973828452916).

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

10344034213324 is a wasteful number, since it uses less digits than its factorization.

10344034213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705047 (or 705008 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 10344034213324 its reverse (42331243044301), we get a palindrome (52675277257625).

The spelling of 10344034213324 in words is "ten trillion, three hundred forty-four billion, thirty-four million, two hundred thirteen thousand, three hundred twenty-four".