4108449800 has 288 divisors, whose sum is σ = 12489825600. Its totient is φ = 1220520960.

The previous prime is 4108449799. The next prime is 4108449817. The reversal of 4108449800 is 89448014.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37692146 + ... + 37692254.

It is an arithmetic number, because the mean of its divisors is an integer number (43367450).

Almost surely, 2^4108449800 is an apocalyptic number.

4108449800 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 4108449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244912800).

4108449800 is an abundant number, since it is smaller than the sum of its proper divisors (8381375800).

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

4108449800 is a wasteful number, since it uses less digits than its factorization.

4108449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 4108449800 is about 64097.1902660327. The cubic root of 4108449800 is about 1601.6194280633.

The spelling of 4108449800 in words is "four billion, one hundred eight million, four hundred forty-nine thousand, eight hundred".