4044960000 has 405 divisors, whose sum is σ = 14853767929. Its totient is φ = 1058304000.

The previous prime is 4044959993. The next prime is 4044960037. The reversal of 4044960000 is 694404.

The square root of 4044960000 is 63600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2244485376 + 1800474624 = 47376^2 + 42432^2 .

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 76319974 + ... + 76320026.

Almost surely, 2^4044960000 is an apocalyptic number.

4044960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4044960000 is the 63600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044960000

4044960000 is an abundant number, since it is smaller than the sum of its proper divisors (10808807929).

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

4044960000 is an frugal number, since it uses more digits than its factorization.

4044960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 4044960000 is about 1593.3263695281.

The spelling of 4044960000 in words is "four billion, forty-four million, nine hundred sixty thousand".