11400800411 has 48 divisors (see below), whose sum is σ = 15529080000. Its totient is φ = 8144167680.

The previous prime is 11400800393. The next prime is 11400800419.

It is a happy number.

11400800411 is nontrivially palindromic in base 10.

11400800411 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 11400800411 - 2⁶ = 11400800347 is a prime.

It is a super-2 number, since 2×11400800411² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11400800419) 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 47 ways as a sum of consecutive naturals, for example, 1637165 + ... + 1644113.

It is an arithmetic number, because the mean of its divisors is an integer number (323522500).

Almost surely, 2^11400800411 is an apocalyptic number.

11400800411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11400800411 is a deficient number, since it is larger than the sum of its proper divisors (4128279589).

11400800411 is a wasteful number, since it uses less digits than its factorization.

11400800411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 11400800411 in words is "eleven billion, four hundred million, eight hundred thousand, four hundred eleven".