414555302106 has 128 divisors (see below), whose sum is σ = 1012928025600. Its totient is φ = 124632406080.

The previous prime is 414555302053. The next prime is 414555302167. The reversal of 414555302106 is 601203555414.

414555302106 is a `hidden beast` number, since 4 + 14 + 5 + 5 + 530 + 2 + 106 = 666.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 59929360 + ... + 59936276.

It is an arithmetic number, because the mean of its divisors is an integer number (7913500200).

Almost surely, 2^414555302106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414555302106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506464012800).

414555302106 is an abundant number, since it is smaller than the sum of its proper divisors (598372723494).

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

414555302106 is a wasteful number, since it uses less digits than its factorization.

414555302106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 414555302106 in words is "four hundred fourteen billion, five hundred fifty-five million, three hundred two thousand, one hundred six".