266041033042356 has 576 divisors, whose sum is σ = 800044493504256. Its totient is φ = 73483374182400.

The previous prime is 266041033042303. The next prime is 266041033042399. The reversal of 266041033042356 is 653240330140662.

266041033042356 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 4 + 103 + 304 + 235 + 6 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 166587997350 + ... + 166587998946.

It is an arithmetic number, because the mean of its divisors is an integer number (1388966134556).

Almost surely, 2^{266041033042356} is an apocalyptic number.

266041033042356 is a gapful number since it is divisible by the number (26) 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 266041033042356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400022246752128).

266041033042356 is an abundant number, since it is smaller than the sum of its proper divisors (534003460461900).

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

266041033042356 is a wasteful number, since it uses less digits than its factorization.

266041033042356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 266041033042356 in words is "two hundred sixty-six trillion, forty-one billion, thirty-three million, forty-two thousand, three hundred fifty-six".