10421471757312 has 880 divisors, whose sum is σ = 39592667875200. Its totient is φ = 2706794496000.

The previous prime is 10421471757283. The next prime is 10421471757313. The reversal of 10421471757312 is 21375717412401.

10421471757312 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 4 + 71 + 7 + 573 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10421471757313) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 312931062 + ... + 312964362.

It is an arithmetic number, because the mean of its divisors is an integer number (44991668040).

Almost surely, 2^{10421471757312} is an apocalyptic number.

10421471757312 is a gapful number since it is divisible by the number (12) 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 10421471757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19796333937600).

10421471757312 is an abundant number, since it is smaller than the sum of its proper divisors (29171196117888).

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

10421471757312 is an equidigital number, since it uses as much as digits as its factorization.

10421471757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33365 (or 33324 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10421471757312 in words is "ten trillion, four hundred twenty-one billion, four hundred seventy-one million, seven hundred fifty-seven thousand, three hundred twelve".