4113023203120 has 320 divisors, whose sum is σ = 11135673521280. Its totient is φ = 1399180492800.

The previous prime is 4113023203097. The next prime is 4113023203123. The reversal of 4113023203120 is 213023203114.

It is a junction number, because it is equal to n+sod(n) for n = 4113023203091 and 4113023203100.

It is not an unprimeable number, because it can be changed into a prime (4113023203123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 251383740 + ... + 251400100.

It is an arithmetic number, because the mean of its divisors is an integer number (34798979754).

Almost surely, 2^{4113023203120} is an apocalyptic number.

4113023203120 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 4113023203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567836760640).

4113023203120 is an abundant number, since it is smaller than the sum of its proper divisors (7022650318160).

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

4113023203120 is a wasteful number, since it uses less digits than its factorization.

4113023203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16704 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 4113023203120 its reverse (213023203114), we get a palindrome (4326046406234).

The spelling of 4113023203120 in words is "four trillion, one hundred thirteen billion, twenty-three million, two hundred three thousand, one hundred twenty".