8850441600 has 1152 divisors, whose sum is σ = 42539777280. Its totient is φ = 1692057600.

The previous prime is 8850441599. The next prime is 8850441683. The reversal of 8850441600 is 61440588.

8850441600 is a `hidden beast` number, since 8 + 8 + 5 + 0 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28828647 + ... + 28828953.

It is an arithmetic number, because the mean of its divisors is an integer number (36926890).

Almost surely, 2^8850441600 is an apocalyptic number.

8850441600 is a gapful number since it is divisible by the number (80) 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 8850441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269888640).

8850441600 is an abundant number, since it is smaller than the sum of its proper divisors (33689335680).

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

8850441600 is a wasteful number, since it uses less digits than its factorization.

8850441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8850441600 is about 94076.7856593751. The cubic root of 8850441600 is about 2068.4974042562.

The spelling of 8850441600 in words is "eight billion, eight hundred fifty million, four hundred forty-one thousand, six hundred".