1418314128241 has 16 divisors (see below), whose sum is σ = 1450222901568. Its totient is φ = 1386769896000.

The previous prime is 1418314128239. The next prime is 1418314128311. The reversal of 1418314128241 is 1428214138141.

It is a cyclic number.

It is not a de Polignac number, because 1418314128241 - 2¹ = 1418314128239 is a prime.

It is a super-3 number, since 3×1418314128241³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1418314128194 and 1418314128203.

It is not an unprimeable number, because it can be changed into a prime (1418314128211) 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 15 ways as a sum of consecutive naturals, for example, 20646571 + ... + 20715151.

It is an arithmetic number, because the mean of its divisors is an integer number (90638931348).

Almost surely, 2^{1418314128241} is an apocalyptic number.

It is an amenable number.

1418314128241 is a deficient number, since it is larger than the sum of its proper divisors (31908773327).

1418314128241 is a wasteful number, since it uses less digits than its factorization.

1418314128241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71232.

The product of its digits is 49152, while the sum is 40.

The spelling of 1418314128241 in words is "one trillion, four hundred eighteen billion, three hundred fourteen million, one hundred twenty-eight thousand, two hundred forty-one".