10000400011 has 8 divisors (see below), whose sum is σ = 11440569344. Its totient is φ = 8563115880.

The previous prime is 10000400009. The next prime is 10000400021. The reversal of 10000400011 is 11000400001.

It is a happy number.

10000400011 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 10000400011 - 2¹ = 10000400009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000399967 and 10000400003.

It is not an unprimeable number, because it can be changed into a prime (10000400021) 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, 713865 + ... + 727738.

It is an arithmetic number, because the mean of its divisors is an integer number (1430071168).

Almost surely, 2^10000400011 is an apocalyptic number.

10000400011 is a deficient number, since it is larger than the sum of its proper divisors (1440169333).

10000400011 is an equidigital number, since it uses as much as digits as its factorization.

10000400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442601.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000400011 its reverse (11000400001), we get a palindrome (21000800012).

The spelling of 10000400011 in words is "ten billion, four hundred thousand, eleven".