415401808221 has 12 divisors (see below), whose sum is σ = 600494721372. Its totient is φ = 276717667776.

The previous prime is 415401808201. The next prime is 415401808231. The reversal of 415401808221 is 122808104514.

415401808221 is a `hidden beast` number, since 4 + 1 + 540 + 18 + 0 + 82 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147082988196 + 268318820025 = 383514^2 + 517995^2 .

It is not a de Polignac number, because 415401808221 - 2²⁵ = 415368253789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415401808201) 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 11 ways as a sum of consecutive naturals, for example, 18060456 + ... + 18083441.

It is an arithmetic number, because the mean of its divisors is an integer number (50041226781).

Almost surely, 2^415401808221 is an apocalyptic number.

It is an amenable number.

415401808221 is a deficient number, since it is larger than the sum of its proper divisors (185092913151).

415401808221 is a wasteful number, since it uses less digits than its factorization.

415401808221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36145180 (or 36145177 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 415401808221 in words is "four hundred fifteen billion, four hundred one million, eight hundred eight thousand, two hundred twenty-one".