10424963839680 has 1568 divisors, whose sum is σ = 42629599905984. Its totient is φ = 2404457644032.

The previous prime is 10424963839621. The next prime is 10424963839723. The reversal of 10424963839680 is 8693836942401.

10424963839680 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 96 + 383 + 96 + 80 = 666.

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 223 ways as a sum of consecutive naturals, for example, 22323262807 + ... + 22323263273.

It is an arithmetic number, because the mean of its divisors is an integer number (27187244838).

Almost surely, 2^{10424963839680} is an apocalyptic number.

10424963839680 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 10424963839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21314799952992).

10424963839680 is an abundant number, since it is smaller than the sum of its proper divisors (32204636066304).

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

10424963839680 is a wasteful number, since it uses less digits than its factorization.

10424963839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 10424963839680 in words is "ten trillion, four hundred twenty-four billion, nine hundred sixty-three million, eight hundred thirty-nine thousand, six hundred eighty".