418001311827 has 48 divisors (see below), whose sum is σ = 674888288256. Its totient is φ = 247098672000.

The previous prime is 418001311811. The next prime is 418001311829. The reversal of 418001311827 is 728113100814.

It is not a de Polignac number, because 418001311827 - 2⁴ = 418001311811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 418001311791 and 418001311800.

It is not an unprimeable number, because it can be changed into a prime (418001311829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23496778 + ... + 23514560.

It is an arithmetic number, because the mean of its divisors is an integer number (14060172672).

Almost surely, 2^418001311827 is an apocalyptic number.

418001311827 is a deficient number, since it is larger than the sum of its proper divisors (256886976429).

418001311827 is a wasteful number, since it uses less digits than its factorization.

418001311827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632 (or 23629 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 418001311827 in words is "four hundred eighteen billion, one million, three hundred eleven thousand, eight hundred twenty-seven".