4108104000 has 1792 divisors, whose sum is σ = 21301862400. Its totient is φ = 746496000.

The previous prime is 4108103999. The next prime is 4108104001. The reversal of 4108104000 is 4018014.

It is an interprime number because it is at equal distance from previous prime (4108103999) and next prime (4108104001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108104001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 216215991 + ... + 216216009.

It is an arithmetic number, because the mean of its divisors is an integer number (11887200).

Almost surely, 2^4108104000 is an apocalyptic number.

4108104000 is a gapful number since it is divisible by the number (40) 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 4108104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650931200).

4108104000 is an abundant number, since it is smaller than the sum of its proper divisors (17193758400).

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

4108104000 is a wasteful number, since it uses less digits than its factorization.

4108104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4108104000 is about 64094.4927431367. The cubic root of 4108104000 is about 1601.5744917682.

The spelling of 4108104000 in words is "four billion, one hundred eight million, one hundred four thousand".