4089343104000 has 2816 divisors, whose sum is σ = 19148883886080. Its totient is φ = 843042816000.

The previous prime is 4089343103897. The next prime is 4089343104053. The reversal of 4089343104000 is 4013439804.

4089343104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32199551937 + ... + 32199552063.

Almost surely, 2^{4089343104000} is an apocalyptic number.

4089343104000 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 4089343104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574441943040).

4089343104000 is an abundant number, since it is smaller than the sum of its proper divisors (15059540782080).

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

4089343104000 is a wasteful number, since it uses less digits than its factorization.

4089343104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4089343104000 in words is "four trillion, eighty-nine billion, three hundred forty-three million, one hundred four thousand".