26406434454201 has 48 divisors (see below), whose sum is σ = 39087804607488. Its totient is φ = 17173368576000.

The previous prime is 26406434454151. The next prime is 26406434454233. The reversal of 26406434454201 is 10245443460462.

26406434454201 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 6 + 434 + 4 + 5 + 4 + 201 = 666.

It is not a de Polignac number, because 26406434454201 - 2¹³ = 26406434446009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26406434452201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275590501 + ... + 275686301.

It is an arithmetic number, because the mean of its divisors is an integer number (814329262656).

Almost surely, 2^{26406434454201} is an apocalyptic number.

It is an amenable number.

26406434454201 is a deficient number, since it is larger than the sum of its proper divisors (12681370153287).

26406434454201 is a wasteful number, since it uses less digits than its factorization.

26406434454201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100422 (or 100419 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 26406434454201 in words is "twenty-six trillion, four hundred six billion, four hundred thirty-four million, four hundred fifty-four thousand, two hundred one".