4442040000 has 420 divisors, whose sum is σ = 16535663144. Its totient is φ = 1181952000.

The previous prime is 4442039993. The next prime is 4442040023. The reversal of 4442040000 is 402444.

It is a happy number.

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 59 ways as a sum of consecutive naturals, for example, 9719772 + ... + 9720228.

Almost surely, 2^4442040000 is an apocalyptic number.

4442040000 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 4442040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267831572).

4442040000 is an abundant number, since it is smaller than the sum of its proper divisors (12093623144).

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

4442040000 is an frugal number, since it uses more digits than its factorization.

4442040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 467 counting only the distinct ones).

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

The square root of 4442040000 is about 66648.6308936650. The cubic root of 4442040000 is about 1643.8448359072.

Adding to 4442040000 its reverse (402444), we get a palindrome (4442442444).

The spelling of 4442040000 in words is "four billion, four hundred forty-two million, forty thousand".