4103103664000 has 256 divisors, whose sum is σ = 11178747740160. Its totient is φ = 1485332736000.

The previous prime is 4103103663983. The next prime is 4103103664007. The reversal of 4103103664000 is 4663013014.

It is a self number, because there is not a number n which added to its sum of digits gives 4103103664000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103103664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39195729 + ... + 39300271.

It is an arithmetic number, because the mean of its divisors is an integer number (43666983360).

Almost surely, 2^{4103103664000} is an apocalyptic number.

4103103664000 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 4103103664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589373870080).

4103103664000 is an abundant number, since it is smaller than the sum of its proper divisors (7075644076160).

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

4103103664000 is a wasteful number, since it uses less digits than its factorization.

4103103664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104806 (or 104784 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 4103103664000 its reverse (4663013014), we get a palindrome (4107766677014).

The spelling of 4103103664000 in words is "four trillion, one hundred three billion, one hundred three million, six hundred sixty-four thousand".