10309440960 has 672 divisors, whose sum is σ = 44112606720. Its totient is φ = 2151899136.

The previous prime is 10309440959. The next prime is 10309440961. The reversal of 10309440960 is 6904490301.

10309440960 is a `hidden beast` number, since 103 + 0 + 94 + 409 + 60 = 666.

10309440960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10309440959) and next prime (10309440961).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309440961) 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 95 ways as a sum of consecutive naturals, for example, 36428979 + ... + 36429261.

It is an arithmetic number, because the mean of its divisors is an integer number (65643760).

Almost surely, 2^10309440960 is an apocalyptic number.

10309440960 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 10309440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056303360).

10309440960 is an abundant number, since it is smaller than the sum of its proper divisors (33803165760).

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

10309440960 is a wasteful number, since it uses less digits than its factorization.

10309440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10309440960 in words is "ten billion, three hundred nine million, four hundred forty thousand, nine hundred sixty".