266105104403400 has 144 divisors (see below), whose sum is σ = 893694542048100. Its totient is φ = 70959384023040.

The previous prime is 266105104403363. The next prime is 266105104403407. The reversal of 266105104403400 is 4304401501662.

266105104403400 is a `hidden beast` number, since 2 + 6 + 6 + 105 + 104 + 40 + 3 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 105166296623844 + 160938807779556 = 10255062^2 + 12686166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (266105104403407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63134772 + ... + 67217628.

Almost surely, 2^{266105104403400} is an apocalyptic number.

266105104403400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

266105104403400 is an abundant number, since it is smaller than the sum of its proper divisors (627589437644700).

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

266105104403400 is a wasteful number, since it uses less digits than its factorization.

266105104403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119088 (or 4119076 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 266105104403400 in words is "two hundred sixty-six trillion, one hundred five billion, one hundred four million, four hundred three thousand, four hundred".