4261348759205 has 32 divisors (see below), whose sum is σ = 5281510608000. Its totient is φ = 3298646115072.

The previous prime is 4261348759183. The next prime is 4261348759243. The reversal of 4261348759205 is 5029578431624.

4261348759205 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 a cyclic number.

It is not a de Polignac number, because 4261348759205 - 2²² = 4261344564901 is a prime.

It is a Curzon number.

It is a congruent number.

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, 161664887 + ... + 161691243.

It is an arithmetic number, because the mean of its divisors is an integer number (165047206500).

It is a 1-persistent number, because it is pandigital, but 2⋅4261348759205 = 8522697518410 is not.

Almost surely, 2^{4261348759205} is an apocalyptic number.

It is an amenable number.

4261348759205 is a deficient number, since it is larger than the sum of its proper divisors (1020161848795).

4261348759205 is a wasteful number, since it uses less digits than its factorization.

4261348759205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33413.

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 4261348759205 in words is "four trillion, two hundred sixty-one billion, three hundred forty-eight million, seven hundred fifty-nine thousand, two hundred five".