10344233004 has 144 divisors (see below), whose sum is σ = 29631974400. Its totient is φ = 2792651904.

The previous prime is 10344232999. The next prime is 10344233017. The reversal of 10344233004 is 40033244301.

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 47 ways as a sum of consecutive naturals, for example, 5350422 + ... + 5352354.

It is an arithmetic number, because the mean of its divisors is an integer number (205777600).

Almost surely, 2^10344233004 is an apocalyptic number.

10344233004 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 10344233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815987200).

10344233004 is an abundant number, since it is smaller than the sum of its proper divisors (19287741396).

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

10344233004 is a wasteful number, since it uses less digits than its factorization.

10344233004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10344233004 its reverse (40033244301), we get a palindrome (50377477305).

The spelling of 10344233004 in words is "ten billion, three hundred forty-four million, two hundred thirty-three thousand, four".