4103313318720 has 2352 divisors, whose sum is σ = 19389386997120. Its totient is φ = 807021895680.

The previous prime is 4103313318673. The next prime is 4103313318721. The reversal of 4103313318720 is 278133133014.

4103313318720 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 313 + 318 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103313318721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3754174494 + ... + 3754175586.

Almost surely, 2^{4103313318720} is an apocalyptic number.

4103313318720 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 4103313318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694693498560).

4103313318720 is an abundant number, since it is smaller than the sum of its proper divisors (15286073678400).

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

4103313318720 is a wasteful number, since it uses less digits than its factorization.

4103313318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 4103313318720 in words is "four trillion, one hundred three billion, three hundred thirteen million, three hundred eighteen thousand, seven hundred twenty".