10400555505 has 32 divisors (see below), whose sum is σ = 17581017600. Its totient is φ = 5241727232.

The previous prime is 10400555461. The next prime is 10400555509. The reversal of 10400555505 is 50555500401.

It is a cyclic number.

It is not a de Polignac number, because 10400555505 - 2⁷ = 10400555377 is a prime.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10400555509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233910 + ... + 274799.

It is an arithmetic number, because the mean of its divisors is an integer number (549406800).

Almost surely, 2^10400555505 is an apocalyptic number.

10400555505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10400555505 is a deficient number, since it is larger than the sum of its proper divisors (7180462095).

10400555505 is a wasteful number, since it uses less digits than its factorization.

10400555505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508793.

The product of its (nonzero) digits is 12500, while the sum is 30.

The spelling of 10400555505 in words is "ten billion, four hundred million, five hundred fifty-five thousand, five hundred five".