4416930000 has 1000 divisors, whose sum is σ = 19686448320. Its totient is φ = 933120000.

The previous prime is 4416929989. The next prime is 4416930071. The reversal of 4416930000 is 396144.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 107729980 + ... + 107730020.

Almost surely, 2^4416930000 is an apocalyptic number.

4416930000 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 4416930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843224160).

4416930000 is an abundant number, since it is smaller than the sum of its proper divisors (15269518320).

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

4416930000 is a wasteful number, since it uses less digits than its factorization.

4416930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4416930000 is about 66459.9879626832. The cubic root of 4416930000 is about 1640.7415345794.

The spelling of 4416930000 in words is "four billion, four hundred sixteen million, nine hundred thirty thousand".