10000442410344 has 192 divisors, whose sum is σ = 29788318684800. Its totient is φ = 3020509459968.

The previous prime is 10000442410337. The next prime is 10000442410363. The reversal of 10000442410344 is 44301424400001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580759 + ... + 4509785.

It is an arithmetic number, because the mean of its divisors is an integer number (155147493150).

Almost surely, 2^{10000442410344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000442410344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894159342400).

10000442410344 is an abundant number, since it is smaller than the sum of its proper divisors (19787876274456).

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

10000442410344 is a wasteful number, since it uses less digits than its factorization.

10000442410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929144 (or 3929137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10000442410344 its reverse (44301424400001), we get a palindrome (54301866810345).

The spelling of 10000442410344 in words is "ten trillion, four hundred forty-two million, four hundred ten thousand, three hundred forty-four".