4404790720 has 224 divisors, whose sum is σ = 12240377856. Its totient is φ = 1493606400.

The previous prime is 4404790711. The next prime is 4404790723. The reversal of 4404790720 is 270974044.

It is a super-5 number, since 5×4404790720⁵ (a number of 49 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4404790720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404790723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3318697 + ... + 3320023.

It is an arithmetic number, because the mean of its divisors is an integer number (54644544).

Almost surely, 2^4404790720 is an apocalyptic number.

4404790720 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 4404790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120188928).

4404790720 is an abundant number, since it is smaller than the sum of its proper divisors (7835587136).

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

4404790720 is a wasteful number, since it uses less digits than its factorization.

4404790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 4404790720 is about 66368.5973936469. The cubic root of 4404790720 is about 1639.2370434884.

The spelling of 4404790720 in words is "four billion, four hundred four million, seven hundred ninety thousand, seven hundred twenty".