4113440211440 has 80 divisors (see below), whose sum is σ = 10930517515200. Its totient is φ = 1410255360000.

The previous prime is 4113440211373. The next prime is 4113440211443. The reversal of 4113440211440 is 441120443114.

It is a happy number.

4113440211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113440211443) 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, 12437336 + ... + 12763784.

It is an arithmetic number, because the mean of its divisors is an integer number (136631468940).

Almost surely, 2^{4113440211440} is an apocalyptic number.

4113440211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113440211440 is an abundant number, since it is smaller than the sum of its proper divisors (6817077303760).

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

4113440211440 is a wasteful number, since it uses less digits than its factorization.

4113440211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348970 (or 348964 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4113440211440 its reverse (441120443114), we get a palindrome (4554560654554).

The spelling of 4113440211440 in words is "four trillion, one hundred thirteen billion, four hundred forty million, two hundred eleven thousand, four hundred forty".