10256045424 has 80 divisors (see below), whose sum is σ = 26962274304. Its totient is φ = 3358700800.

The previous prime is 10256045417. The next prime is 10256045441. The reversal of 10256045424 is 42454065201.

10256045424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 993409 + ... + 1003679.

Almost surely, 2^10256045424 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 10256045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481137152).

10256045424 is an abundant number, since it is smaller than the sum of its proper divisors (16706228880).

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

10256045424 is a wasteful number, since it uses less digits than its factorization.

10256045424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10640 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 10256045424 in words is "ten billion, two hundred fifty-six million, forty-five thousand, four hundred twenty-four".