10424523614304 has 96 divisors (see below), whose sum is σ = 28004193866880. Its totient is φ = 3393614149632.

The previous prime is 10424523614249. The next prime is 10424523614369. The reversal of 10424523614304 is 40341632542401.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 34396359 + ... + 34698105.

It is an arithmetic number, because the mean of its divisors is an integer number (291710352780).

Almost surely, 2^{10424523614304} 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 10424523614304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002096933440).

10424523614304 is an abundant number, since it is smaller than the sum of its proper divisors (17579670252576).

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

10424523614304 is a wasteful number, since it uses less digits than its factorization.

10424523614304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310172 (or 310164 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 10424523614304 in words is "ten trillion, four hundred twenty-four billion, five hundred twenty-three million, six hundred fourteen thousand, three hundred four".