406017556118129 has 16 divisors (see below), whose sum is σ = 407438287660800. Its totient is φ = 404599273128960.

The previous prime is 406017556118101. The next prime is 406017556118177. The reversal of 406017556118129 is 921811655710604.

It is a cyclic number.

It is not a de Polignac number, because 406017556118129 - 2⁴⁰ = 404918044490353 is a prime.

It is a super-3 number, since 3×406017556118129³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406017556198129) 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 15 ways as a sum of consecutive naturals, for example, 2475831074 + ... + 2475995060.

It is an arithmetic number, because the mean of its divisors is an integer number (25464892978800).

Almost surely, 2^{406017556118129} is an apocalyptic number.

It is an amenable number.

406017556118129 is a deficient number, since it is larger than the sum of its proper divisors (1420731542671).

406017556118129 is a wasteful number, since it uses less digits than its factorization.

406017556118129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171400.

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 406017556118129 in words is "four hundred six trillion, seventeen billion, five hundred fifty-six million, one hundred eighteen thousand, one hundred twenty-nine".