4415800000 has 84 divisors (see below), whose sum is σ = 10953048960. Its totient is φ = 1766240000.

The previous prime is 4415799959. The next prime is 4415800001. The reversal of 4415800000 is 85144.

It is not an unprimeable number, because it can be changed into a prime (4415800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188961 + ... + 211039.

It is an arithmetic number, because the mean of its divisors is an integer number (130393440).

Almost surely, 2^4415800000 is an apocalyptic number.

4415800000 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 4415800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476524480).

4415800000 is an abundant number, since it is smaller than the sum of its proper divisors (6537248960).

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

4415800000 is an frugal number, since it uses more digits than its factorization.

4415800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4415800000 is about 66451.4860631423. The cubic root of 4415800000 is about 1640.6016035968.

Adding to 4415800000 its reverse (85144), we get a palindrome (4415885144).

The spelling of 4415800000 in words is "four billion, four hundred fifteen million, eight hundred thousand".