4081261123368 has 256 divisors, whose sum is σ = 13570104441600. Its totient is φ = 1120071214080.

The previous prime is 4081261123349. The next prime is 4081261123391. The reversal of 4081261123368 is 8633211621804.

4081261123368 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 2 + 611 + 23 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390546 + ... + 2883582.

It is an arithmetic number, because the mean of its divisors is an integer number (53008220475).

Almost surely, 2^{4081261123368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081261123368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785052220800).

4081261123368 is an abundant number, since it is smaller than the sum of its proper divisors (9488843318232).

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

4081261123368 is a wasteful number, since it uses less digits than its factorization.

4081261123368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493129 (or 2493119 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4081261123368 in words is "four trillion, eighty-one billion, two hundred sixty-one million, one hundred twenty-three thousand, three hundred sixty-eight".