10405168379 has 8 divisors (see below), whose sum is σ = 11248831440. Its totient is φ = 9591107616.

The previous prime is 10405168339. The next prime is 10405168381. The reversal of 10405168379 is 97386150401.

10405168379 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10405168379 - 2²⁸ = 10136732923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10405168309) 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, 7399844 + ... + 7401249.

It is an arithmetic number, because the mean of its divisors is an integer number (1406103930).

Almost surely, 2^10405168379 is an apocalyptic number.

10405168379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10405168379 is a deficient number, since it is larger than the sum of its proper divisors (843663061).

10405168379 is a wasteful number, since it uses less digits than its factorization.

10405168379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801149.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 10405168379 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, three hundred seventy-nine".