10416007336 has 64 divisors (see below), whose sum is σ = 22678951680. Its totient is φ = 4392506880.

The previous prime is 10416007333. The next prime is 10416007339. The reversal of 10416007336 is 63370061401.

10416007336 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 (10416007333) and next prime (10416007339).

It is a junction number, because it is equal to n+sod(n) for n = 10416007298 and 10416007307.

It is not an unprimeable number, because it can be changed into a prime (10416007333) 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 15 ways as a sum of consecutive naturals, for example, 1881805 + ... + 1887331.

It is an arithmetic number, because the mean of its divisors is an integer number (354358620).

Almost surely, 2^10416007336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416007336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339475840).

10416007336 is an abundant number, since it is smaller than the sum of its proper divisors (12262944344).

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

10416007336 is a wasteful number, since it uses less digits than its factorization.

10416007336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 10416007336 its reverse (63370061401), we get a palindrome (73786068737).

The spelling of 10416007336 in words is "ten billion, four hundred sixteen million, seven thousand, three hundred thirty-six".