10316416112640 has 576 divisors, whose sum is σ = 39122323138080. Its totient is φ = 2493445570560.

The previous prime is 10316416112627. The next prime is 10316416112641. The reversal of 10316416112640 is 4621161461301.

10316416112640 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 4 + 1 + 6 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 10316416112595 and 10316416112604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10316416112641) 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 47 ways as a sum of consecutive naturals, for example, 341622022 + ... + 341652218.

Almost surely, 2^{10316416112640} is an apocalyptic number.

10316416112640 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 10316416112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561161569040).

10316416112640 is an abundant number, since it is smaller than the sum of its proper divisors (28805907025440).

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

10316416112640 is a wasteful number, since it uses less digits than its factorization.

10316416112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30578 (or 30555 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10316416112640 its reverse (4621161461301), we get a palindrome (14937577573941).

The spelling of 10316416112640 in words is "ten trillion, three hundred sixteen billion, four hundred sixteen million, one hundred twelve thousand, six hundred forty".