10400707667 has 8 divisors (see below), whose sum is σ = 11892503136. Its totient is φ = 8910407232.

The previous prime is 10400707657. The next prime is 10400707703. The reversal of 10400707667 is 76670700401.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400707667 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400707667.

It is not an unprimeable number, because it can be changed into a prime (10400707657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 358808 + ... + 386709.

It is an arithmetic number, because the mean of its divisors is an integer number (1486562892).

Almost surely, 2^10400707667 is an apocalyptic number.

10400707667 is a deficient number, since it is larger than the sum of its proper divisors (1491795469).

10400707667 is an equidigital number, since it uses as much as digits as its factorization.

10400707667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747517.

The product of its (nonzero) digits is 49392, while the sum is 38.

The spelling of 10400707667 in words is "ten billion, four hundred million, seven hundred seven thousand, six hundred sixty-seven".