11400444400411 has 16 divisors (see below), whose sum is σ = 12838190976000. Its totient is φ = 10029596263200.

The previous prime is 11400444400369. The next prime is 11400444400417.

It is a happy number.

11400444400411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11400444400411 - 2⁷ = 11400444400283 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11400444400411.

It is not an unprimeable number, because it can be changed into a prime (11400444400417) 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, 40243140 + ... + 40525438.

It is an arithmetic number, because the mean of its divisors is an integer number (802386936000).

Almost surely, 2^{11400444400411} is an apocalyptic number.

11400444400411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11400444400411 is a deficient number, since it is larger than the sum of its proper divisors (1437746575589).

11400444400411 is a wasteful number, since it uses less digits than its factorization.

11400444400411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400770.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1140044 and 4400411, that added together give a palindrome (5540455).

The spelling of 11400444400411 in words is "eleven trillion, four hundred billion, four hundred forty-four million, four hundred thousand, four hundred eleven".