4044944800512 has 810 divisors, whose sum is σ = 14957308729636. Its totient is φ = 1050461153280.

The previous prime is 4044944800471. The next prime is 4044944800513. The reversal of 4044944800512 is 2150084494404.

4044944800512 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 94 + 48 + 0 + 0 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (4044944800513) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 669357363 + ... + 669363405.

Almost surely, 2^{4044944800512} is an apocalyptic number.

4044944800512 is a gapful number since it is divisible by the number (42) 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 4044944800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478654364818).

4044944800512 is an abundant number, since it is smaller than the sum of its proper divisors (10912363929124).

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

4044944800512 is an equidigital number, since it uses as much as digits as its factorization.

4044944800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4044944800512 in words is "four trillion, forty-four billion, nine hundred forty-four million, eight hundred thousand, five hundred twelve".