10334034041424 has 160 divisors (see below), whose sum is σ = 29328852833280. Its totient is φ = 3120882564096.

The previous prime is 10334034041413. The next prime is 10334034041431. The reversal of 10334034041424 is 42414043043301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113581519 + ... + 113672465.

It is an arithmetic number, because the mean of its divisors is an integer number (183305330208).

Almost surely, 2^{10334034041424} 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 10334034041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664426416640).

10334034041424 is an abundant number, since it is smaller than the sum of its proper divisors (18994818791856).

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

10334034041424 is a wasteful number, since it uses less digits than its factorization.

10334034041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96417 (or 96411 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10334034041424 its reverse (42414043043301), we get a palindrome (52748077084725).

The spelling of 10334034041424 in words is "ten trillion, three hundred thirty-four billion, thirty-four million, forty-one thousand, four hundred twenty-four".