414088224228 has 144 divisors (see below), whose sum is σ = 1259933875200. Its totient is φ = 112109164992.

The previous prime is 414088224227. The next prime is 414088224233. The reversal of 414088224228 is 822422880414.

414088224228 is a `hidden beast` number, since 4 + 140 + 8 + 82 + 2 + 422 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (414088224227) 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 47 ways as a sum of consecutive naturals, for example, 286323 + ... + 954021.

It is an arithmetic number, because the mean of its divisors is an integer number (8749540800).

Almost surely, 2^414088224228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414088224228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629966937600).

414088224228 is an abundant number, since it is smaller than the sum of its proper divisors (845845650972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414088224228 is a wasteful number, since it uses less digits than its factorization.

414088224228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667846 (or 667841 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 414088224228 in words is "four hundred fourteen billion, eighty-eight million, two hundred twenty-four thousand, two hundred twenty-eight".