4418104500 has 672 divisors, whose sum is σ = 16499718144. Its totient is φ = 1026432000.

The previous prime is 4418104489. The next prime is 4418104507. The reversal of 4418104500 is 54018144.

It is a happy number.

4418104500 is a `hidden beast` number, since 44 + 18 + 104 + 500 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4418104507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 142519485 + ... + 142519515.

It is an arithmetic number, because the mean of its divisors is an integer number (24553152).

Almost surely, 2^4418104500 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 4418104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249859072).

4418104500 is an abundant number, since it is smaller than the sum of its proper divisors (12081613644).

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

4418104500 is a wasteful number, since it uses less digits than its factorization.

4418104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4418104500 is about 66468.8235190002. The cubic root of 4418104500 is about 1640.8869508264.

The spelling of 4418104500 in words is "four billion, four hundred eighteen million, one hundred four thousand, five hundred".