4067798111559 has 160 divisors (see below), whose sum is σ = 7616205822400. Its totient is φ = 2145651751152.

The previous prime is 4067798111549. The next prime is 4067798111591. The reversal of 4067798111559 is 9551118977604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4067798111559 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 79 + 8 + 1 + 1 + 1 + 559 = 666.

It is not a de Polignac number, because 4067798111559 - 2¹¹ = 4067798109511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4067798111559 = 3887³ + 15886³ = 10647³ + 14196³.

It is a junction number, because it is equal to n+sod(n) for n = 4067798111496 and 4067798111505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067798111519) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 312907547037 + ... + 312907547049.

It is an arithmetic number, because the mean of its divisors is an integer number (47601286390).

Almost surely, 2^{4067798111559} is an apocalyptic number.

4067798111559 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4067798111559 is a deficient number, since it is larger than the sum of its proper divisors (3548407710841).

4067798111559 is an frugal number, since it uses more digits than its factorization.

4067798111559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 63.

The spelling of 4067798111559 in words is "four trillion, sixty-seven billion, seven hundred ninety-eight million, one hundred eleven thousand, five hundred fifty-nine".