10289795040 has 384 divisors, whose sum is σ = 43327872000. Its totient is φ = 2228041728.

The previous prime is 10289794997. The next prime is 10289795057. The reversal of 10289795040 is 4059798201.

10289795040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 565606 + ... + 583514.

It is an arithmetic number, because the mean of its divisors is an integer number (112833000).

Almost surely, 2^10289795040 is an apocalyptic number.

10289795040 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 10289795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663936000).

10289795040 is an abundant number, since it is smaller than the sum of its proper divisors (33038076960).

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

10289795040 is a wasteful number, since it uses less digits than its factorization.

10289795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10289795040 in words is "ten billion, two hundred eighty-nine million, seven hundred ninety-five thousand, forty".