414162432008 has 128 divisors (see below), whose sum is σ = 855563990400. Its totient is φ = 186810624000.

The previous prime is 414162432007. The next prime is 414162432067. The reversal of 414162432008 is 800234261414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414162432007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318340958 + ... + 318342258.

It is an arithmetic number, because the mean of its divisors is an integer number (6684093675).

Almost surely, 2^414162432008 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 414162432008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427781995200).

414162432008 is an abundant number, since it is smaller than the sum of its proper divisors (441401558392).

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

414162432008 is a wasteful number, since it uses less digits than its factorization.

414162432008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 414162432008 in words is "four hundred fourteen billion, one hundred sixty-two million, four hundred thirty-two thousand, eight".