4113341120000 has 400 divisors, whose sum is σ = 11774157938400. Its totient is φ = 1405845504000.

The previous prime is 4113341119961. The next prime is 4113341120033. The reversal of 4113341120000 is 211433114.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754877276 + ... + 754882724.

It is an arithmetic number, because the mean of its divisors is an integer number (29435394846).

Almost surely, 2^{4113341120000} is an apocalyptic number.

4113341120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113341120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887078969200).

4113341120000 is an abundant number, since it is smaller than the sum of its proper divisors (7660816818400).

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

4113341120000 is an frugal number, since it uses more digits than its factorization.

4113341120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4113341120000 its reverse (211433114), we get a palindrome (4113552553114).

The spelling of 4113341120000 in words is "four trillion, one hundred thirteen billion, three hundred forty-one million, one hundred twenty thousand".