4109104994560 has 288 divisors, whose sum is σ = 10144320409440. Its totient is φ = 1594117324800.

The previous prime is 4109104994473. The next prime is 4109104994573. The reversal of 4109104994560 is 654994019014.

It can be written as a sum of positive squares in 16 ways, for example, as 1509477617664 + 2599627376896 = 1228608^2 + 1612336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4109104994498 and 4109104994507.

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, 3759473374 + ... + 3759474466.

It is an arithmetic number, because the mean of its divisors is an integer number (35223334755).

Almost surely, 2^{4109104994560} is an apocalyptic number.

4109104994560 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 4109104994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072160204720).

4109104994560 is an abundant number, since it is smaller than the sum of its proper divisors (6035215414880).

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

4109104994560 is a wasteful number, since it uses less digits than its factorization.

4109104994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 4109104994560 in words is "four trillion, one hundred nine billion, one hundred four million, nine hundred ninety-four thousand, five hundred sixty".