4103648073280 has 224 divisors, whose sum is σ = 11425786444800. Its totient is φ = 1374828429312.

The previous prime is 4103648073263. The next prime is 4103648073299. The reversal of 4103648073280 is 823708463014.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4103648073280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17045586 + ... + 17284654.

It is an arithmetic number, because the mean of its divisors is an integer number (51007975200).

Almost surely, 2^{4103648073280} is an apocalyptic number.

4103648073280 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 4103648073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712893222400).

4103648073280 is an abundant number, since it is smaller than the sum of its proper divisors (7322138371520).

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

4103648073280 is a wasteful number, since it uses less digits than its factorization.

4103648073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239269 (or 239259 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 4103648073280 in words is "four trillion, one hundred three billion, six hundred forty-eight million, seventy-three thousand, two hundred eighty".