4191416008 has 128 divisors (see below), whose sum is σ = 9031680000. Its totient is φ = 1809941760.

The previous prime is 4191415999. The next prime is 4191416029. The reversal of 4191416008 is 8006141914.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21062293 + ... + 21062491.

It is an arithmetic number, because the mean of its divisors is an integer number (70560000).

Almost surely, 2^4191416008 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 4191416008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840000).

4191416008 is an abundant number, since it is smaller than the sum of its proper divisors (4840263992).

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

4191416008 is a wasteful number, since it uses less digits than its factorization.

4191416008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 4191416008 is about 64741.1461745929. The cubic root of 4191416008 is about 1612.3287170830.

The spelling of 4191416008 in words is "four billion, one hundred ninety-one million, four hundred sixteen thousand, eight".