10404705311 has 64 divisors (see below), whose sum is σ = 14785182720. Its totient is φ = 7051484160.

The previous prime is 10404705307. The next prime is 10404705343. The reversal of 10404705311 is 11350740401.

10404705311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10404705311 - 2² = 10404705307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404705911) 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 63 ways as a sum of consecutive naturals, for example, 3745355 + ... + 3748131.

It is an arithmetic number, because the mean of its divisors is an integer number (231018480).

Almost surely, 2^10404705311 is an apocalyptic number.

10404705311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10404705311 is a deficient number, since it is larger than the sum of its proper divisors (4380477409).

10404705311 is a wasteful number, since it uses less digits than its factorization.

10404705311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024.

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 10404705311 in words is "ten billion, four hundred four million, seven hundred five thousand, three hundred eleven".