10316507040 has 288 divisors, whose sum is σ = 41057452800. Its totient is φ = 2357945856.

The previous prime is 10316507011. The next prime is 10316507057. The reversal of 10316507040 is 4070561301.

10316507040 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 650 + 7 + 0 + 4 + 0 = 666.

10316507040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10316506995 and 10316507013.

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 47 ways as a sum of consecutive naturals, for example, 483477 + ... + 504363.

It is an arithmetic number, because the mean of its divisors is an integer number (142560600).

Almost surely, 2^10316507040 is an apocalyptic number.

10316507040 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 10316507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528726400).

10316507040 is an abundant number, since it is smaller than the sum of its proper divisors (30740945760).

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

10316507040 is a wasteful number, since it uses less digits than its factorization.

10316507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20904 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10316507040 in words is "ten billion, three hundred sixteen million, five hundred seven thousand, forty".