10415213406 has 96 divisors (see below), whose sum is σ = 25138364160. Its totient is φ = 3094848000.

The previous prime is 10415213377. The next prime is 10415213467. The reversal of 10415213406 is 60431251401.

It is a happy number.

10415213406 is a `hidden beast` number, since 1 + 0 + 41 + 5 + 213 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10415213406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4358460 + ... + 4360848.

It is an arithmetic number, because the mean of its divisors is an integer number (261857960).

Almost surely, 2^10415213406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415213406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569182080).

10415213406 is an abundant number, since it is smaller than the sum of its proper divisors (14723150754).

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

10415213406 is a wasteful number, since it uses less digits than its factorization.

10415213406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10415213406 its reverse (60431251401), we get a palindrome (70846464807).

The spelling of 10415213406 in words is "ten billion, four hundred fifteen million, two hundred thirteen thousand, four hundred six".