971281010128 has 400 divisors, whose sum is σ = 2404403822592. Its totient is φ = 375845184000.

The previous prime is 971281010047. The next prime is 971281010239. The reversal of 971281010128 is 821010182179.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3584062633 + ... + 3584062903.

Almost surely, 2^971281010128 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 971281010128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202201911296).

971281010128 is an abundant number, since it is smaller than the sum of its proper divisors (1433122812464).

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

971281010128 is a wasteful number, since it uses less digits than its factorization.

971281010128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 40.

The spelling of 971281010128 in words is "nine hundred seventy-one billion, two hundred eighty-one million, ten thousand, one hundred twenty-eight".