4415330000 has 100 divisors (see below), whose sum is σ = 11035567488. Its totient is φ = 1709040000.

The previous prime is 4415329973. The next prime is 4415330009. The reversal of 4415330000 is 335144.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 302879 + ... + 317121.

Almost surely, 2^4415330000 is an apocalyptic number.

4415330000 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 4415330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517783744).

4415330000 is an abundant number, since it is smaller than the sum of its proper divisors (6620237488).

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

4415330000 is a wasteful number, since it uses less digits than its factorization.

4415330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14302 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4415330000 is about 66447.9495545197. The cubic root of 4415330000 is about 1640.5433951852.

Adding to 4415330000 its reverse (335144), we get a palindrome (4415665144).

The spelling of 4415330000 in words is "four billion, four hundred fifteen million, three hundred thirty thousand".