10330461306 has 64 divisors (see below), whose sum is σ = 25082835840. Its totient is φ = 3125531520.

The previous prime is 10330461283. The next prime is 10330461319. The reversal of 10330461306 is 60316403301.

10330461306 is a `hidden beast` number, since 10 + 3 + 30 + 4 + 613 + 0 + 6 = 666.

It is a super-3 number, since 3×10330461306³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10330461306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374566 + ... + 401198.

It is an arithmetic number, because the mean of its divisors is an integer number (391919310).

Almost surely, 2^10330461306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330461306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541417920).

10330461306 is an abundant number, since it is smaller than the sum of its proper divisors (14752374534).

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

10330461306 is a wasteful number, since it uses less digits than its factorization.

10330461306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27308 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10330461306 its reverse (60316403301), we get a palindrome (70646864607).

The spelling of 10330461306 in words is "ten billion, three hundred thirty million, four hundred sixty-one thousand, three hundred six".