11414004144 has 80 divisors (see below), whose sum is σ = 30272348160. Its totient is φ = 3704081920.

The previous prime is 11414004139. The next prime is 11414004149. The reversal of 11414004144 is 44140041411.

It is an interprime number because it is at equal distance from previous prime (11414004139) and next prime (11414004149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11414004149) 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, 417652 + ... + 444140.

It is an arithmetic number, because the mean of its divisors is an integer number (378404352).

Almost surely, 2^11414004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136174080).

11414004144 is an abundant number, since it is smaller than the sum of its proper divisors (18858344016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11414004144 is a wasteful number, since it uses less digits than its factorization.

11414004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11414004144 its reverse (44140041411), we get a palindrome (55554045555).

The spelling of 11414004144 in words is "eleven billion, four hundred fourteen million, four thousand, one hundred forty-four".