4440420000 has 300 divisors, whose sum is σ = 16324669746. Its totient is φ = 1183680000.

The previous prime is 4440419993. The next prime is 4440420011. The reversal of 4440420000 is 240444.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 63504 + 4440356496 = 252^2 + 66636^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1618630 + ... + 1621370.

Almost surely, 2^4440420000 is an apocalyptic number.

4440420000 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 4440420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162334873).

4440420000 is an abundant number, since it is smaller than the sum of its proper divisors (11884249746).

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

4440420000 is an equidigital number, since it uses as much as digits as its factorization.

4440420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4440420000 is about 66636.4764974860. The cubic root of 4440420000 is about 1643.6449763507.

Adding to 4440420000 its reverse (240444), we get a palindrome (4440660444).

The spelling of 4440420000 in words is "four billion, four hundred forty million, four hundred twenty thousand".