4089006966144 has 256 divisors, whose sum is σ = 11233015200000. Its totient is φ = 1317327863808.

The previous prime is 4089006966139. The next prime is 4089006966217. The reversal of 4089006966144 is 4416696009804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 360927072 + ... + 360938400.

It is an arithmetic number, because the mean of its divisors is an integer number (43878965625).

Almost surely, 2^{4089006966144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089006966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616507600000).

4089006966144 is an abundant number, since it is smaller than the sum of its proper divisors (7144008233856).

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

4089006966144 is a wasteful number, since it uses less digits than its factorization.

4089006966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 4089006966144 in words is "four trillion, eighty-nine billion, six million, nine hundred sixty-six thousand, one hundred forty-four".