4113330344000 has 56 divisors (see below), whose sum is σ = 10186662616728. Its totient is φ = 1645332134400.

The previous prime is 4113330343961. The next prime is 4113330344009. The reversal of 4113330344000 is 4430333114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 140037614656 + 3973292729344 = 374216^2 + 1993312^2 .

It is not an unprimeable number, because it can be changed into a prime (4113330344009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257075147 + ... + 257091146.

Almost surely, 2^{4113330344000} is an apocalyptic number.

4113330344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113330344000 is an abundant number, since it is smaller than the sum of its proper divisors (6073332272728).

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

4113330344000 is an equidigital number, since it uses as much as digits as its factorization.

4113330344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514166320 (or 514166300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4113330344000 its reverse (4430333114), we get a palindrome (4117760677114).

The spelling of 4113330344000 in words is "four trillion, one hundred thirteen billion, three hundred thirty million, three hundred forty-four thousand".