110400004011 has 16 divisors (see below), whose sum is σ = 170027814528. Its totient is φ = 62973264000.

The previous prime is 110400004009. The next prime is 110400004019.

110400004011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110400004011 - 2¹ = 110400004009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110400004019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98395165 + ... + 98396286.

It is an arithmetic number, because the mean of its divisors is an integer number (10626738408).

Almost surely, 2^110400004011 is an apocalyptic number.

110400004011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110400004011 is a deficient number, since it is larger than the sum of its proper divisors (59627810517).

110400004011 is a wasteful number, since it uses less digits than its factorization.

110400004011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196791482.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 11040000 and 4011, that added together give a palindrome (11044011).

The spelling of 110400004011 in words is "one hundred ten billion, four hundred million, four thousand, eleven".