4416000000 has 364 divisors, whose sum is σ = 15357928416. Its totient is φ = 1126400000.

The previous prime is 4415999971. The next prime is 4416000031. The reversal of 4416000000 is 6144.

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 191999989 + ... + 192000011.

Almost surely, 2^4416000000 is an apocalyptic number.

4416000000 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 4416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678964208).

4416000000 is an abundant number, since it is smaller than the sum of its proper divisors (10941928416).

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

4416000000 is an frugal number, since it uses more digits than its factorization.

4416000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4416000000 is about 66452.9909033446. The cubic root of 4416000000 is about 1640.6263718809.

Adding to 4416000000 its reverse (6144), we get a palindrome (4416006144).

The spelling of 4416000000 in words is "four billion, four hundred sixteen million", and thus it is an aban number.