4084903680000 has 1920 divisors, whose sum is σ = 16454175978240. Its totient is φ = 887685120000.

The previous prime is 4084903679959. The next prime is 4084903680047. The reversal of 4084903680000 is 863094804.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23612159914 + ... + 23612160086.

It is an arithmetic number, because the mean of its divisors is an integer number (8569883322).

Almost surely, 2^{4084903680000} is an apocalyptic number.

4084903680000 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 4084903680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227087989120).

4084903680000 is an abundant number, since it is smaller than the sum of its proper divisors (12369272298240).

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

4084903680000 is a wasteful number, since it uses less digits than its factorization.

4084903680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 4084903680000 in words is "four trillion, eighty-four billion, nine hundred three million, six hundred eighty thousand".