4044064992000 has 1152 divisors, whose sum is σ = 15848877477888. Its totient is φ = 902889472000.

The previous prime is 4044064991933. The next prime is 4044064992001. The reversal of 4044064992000 is 2994604404.

It is not an unprimeable number, because it can be changed into a prime (4044064992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 843741604 + ... + 843746396.

It is an arithmetic number, because the mean of its divisors is an integer number (13757706144).

Almost surely, 2^{4044064992000} is an apocalyptic number.

4044064992000 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 4044064992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924438738944).

4044064992000 is an abundant number, since it is smaller than the sum of its proper divisors (11804812485888).

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

4044064992000 is a wasteful number, since it uses less digits than its factorization.

4044064992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 4044064992000 in words is "four trillion, forty-four billion, sixty-four million, nine hundred ninety-two thousand".