10400967759 has 32 divisors (see below), whose sum is σ = 17618857984. Its totient is φ = 5309245440.

The previous prime is 10400967749. The next prime is 10400967791. The reversal of 10400967759 is 95776900401.

It is a happy number.

It is not a de Polignac number, because 10400967759 - 2⁴ = 10400967743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400967719) 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 31 ways as a sum of consecutive naturals, for example, 606034 + ... + 622959.

It is an arithmetic number, because the mean of its divisors is an integer number (550589312).

Almost surely, 2^10400967759 is an apocalyptic number.

10400967759 is a deficient number, since it is larger than the sum of its proper divisors (7217890225).

10400967759 is a wasteful number, since it uses less digits than its factorization.

10400967759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229047.

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10400967759 in words is "ten billion, four hundred million, nine hundred sixty-seven thousand, seven hundred fifty-nine".