10344010040 has 192 divisors, whose sum is σ = 29421480960. Its totient is φ = 3203366400.

The previous prime is 10344009989. The next prime is 10344010049. The reversal of 10344010040 is 4001044301.

It is a super-4 number, since 4×10344010040⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344010049) by changing a digit.

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, 2221715 + ... + 2226365.

It is an arithmetic number, because the mean of its divisors is an integer number (153236880).

Almost surely, 2^10344010040 is an apocalyptic number.

10344010040 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 10344010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710740480).

10344010040 is an abundant number, since it is smaller than the sum of its proper divisors (19077470920).

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

10344010040 is a wasteful number, since it uses less digits than its factorization.

10344010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4725 counting only the distinct ones).

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

Adding to 10344010040 its reverse (4001044301), we get a palindrome (14345054341).

The spelling of 10344010040 in words is "ten billion, three hundred forty-four million, ten thousand, forty".