4440078720 has 1024 divisors, whose sum is σ = 20304691200. Its totient is φ = 890265600.

The previous prime is 4440078701. The next prime is 4440078737. The reversal of 4440078720 is 278700444.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 62536285 + ... + 62536355.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 2^4440078720 is an apocalyptic number.

4440078720 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 4440078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

4440078720 is an abundant number, since it is smaller than the sum of its proper divisors (15864612480).

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

4440078720 is a wasteful number, since it uses less digits than its factorization.

4440078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4440078720 is about 66633.9156886341. The cubic root of 4440078720 is about 1643.6028664055.

The spelling of 4440078720 in words is "four billion, four hundred forty million, seventy-eight thousand, seven hundred twenty".