4089349216000 has 576 divisors, whose sum is σ = 10843620802560. Its totient is φ = 1533535027200.

The previous prime is 4089349215989. The next prime is 4089349216013. The reversal of 4089349216000 is 6129439804.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10677151809 + ... + 10677152191.

It is an arithmetic number, because the mean of its divisors is an integer number (18825730560).

Almost surely, 2^{4089349216000} is an apocalyptic number.

4089349216000 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 4089349216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421810401280).

4089349216000 is an abundant number, since it is smaller than the sum of its proper divisors (6754271586560).

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

4089349216000 is a wasteful number, since it uses less digits than its factorization.

4089349216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 4089349216000 in words is "four trillion, eighty-nine billion, three hundred forty-nine million, two hundred sixteen thousand".