4141109808 has 180 divisors, whose sum is σ = 12800298784. Its totient is φ = 1248825600.

The previous prime is 4141109807. The next prime is 4141109809. The reversal of 4141109808 is 8089011414.

It is an interprime number because it is at equal distance from previous prime (4141109807) and next prime (4141109809).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4141109801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4721466 + ... + 4722342.

Almost surely, 2^4141109808 is an apocalyptic number.

4141109808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141109808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400149392).

4141109808 is an abundant number, since it is smaller than the sum of its proper divisors (8659188976).

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

4141109808 is a wasteful number, since it uses less digits than its factorization.

4141109808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4141109808 is about 64351.4553681578. The cubic root of 4141109808 is about 1605.8522413632.

The spelling of 4141109808 in words is "four billion, one hundred forty-one million, one hundred nine thousand, eight hundred eight".