10005332414 has 16 divisors (see below), whose sum is σ = 18711271296. Its totient is φ = 3898181400.

The previous prime is 10005332413. The next prime is 10005332431. The reversal of 10005332414 is 41423350001.

10005332414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10005332414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005332413) 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 7 ways as a sum of consecutive naturals, for example, 32484692 + ... + 32484999.

It is an arithmetic number, because the mean of its divisors is an integer number (1169454456).

Almost surely, 2^10005332414 is an apocalyptic number.

10005332414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10005332414 is a deficient number, since it is larger than the sum of its proper divisors (8705938882).

10005332414 is a wasteful number, since it uses less digits than its factorization.

10005332414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64969711.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10005332414 its reverse (41423350001), we get a palindrome (51428682415).

The spelling of 10005332414 in words is "ten billion, five million, three hundred thirty-two thousand, four hundred fourteen".