10210728440 has 64 divisors (see below), whose sum is σ = 26381808000. Its totient is φ = 3517568640.

The previous prime is 10210728439. The next prime is 10210728469. The reversal of 10210728440 is 4482701201.

10210728440 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, 602330 + ... + 619049.

It is an arithmetic number, because the mean of its divisors is an integer number (412215750).

Almost surely, 2^10210728440 is an apocalyptic number.

10210728440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210728440 is an abundant number, since it is smaller than the sum of its proper divisors (16171079560).

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

10210728440 is a wasteful number, since it uses less digits than its factorization.

10210728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221420 (or 1221416 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 10210728440 in words is "ten billion, two hundred ten million, seven hundred twenty-eight thousand, four hundred forty".