4101199582305 has 128 divisors (see below), whose sum is σ = 8169958379520. Its totient is φ = 1714970050560.

The previous prime is 4101199582283. The next prime is 4101199582349. The reversal of 4101199582305 is 5032859911014.

4101199582305 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4101199582305 - 2⁷ = 4101199582177 is a prime.

It is a super-2 number, since 2×4101199582305² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7675662 + ... + 8192568.

It is an arithmetic number, because the mean of its divisors is an integer number (63827799840).

Almost surely, 2^{4101199582305} is an apocalyptic number.

It is an amenable number.

4101199582305 is a deficient number, since it is larger than the sum of its proper divisors (4068758797215).

4101199582305 is a wasteful number, since it uses less digits than its factorization.

4101199582305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517079.

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 4101199582305 in words is "four trillion, one hundred one billion, one hundred ninety-nine million, five hundred eighty-two thousand, three hundred five".