4084811600960 has 224 divisors, whose sum is σ = 10192252944384. Its totient is φ = 1557400320000.

The previous prime is 4084811600953. The next prime is 4084811600971. The reversal of 4084811600960 is 690061184804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917726735 + ... + 917731185.

It is an arithmetic number, because the mean of its divisors is an integer number (45501129216).

Almost surely, 2^{4084811600960} is an apocalyptic number.

4084811600960 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 4084811600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096126472192).

4084811600960 is an abundant number, since it is smaller than the sum of its proper divisors (6107441343424).

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

4084811600960 is a wasteful number, since it uses less digits than its factorization.

4084811600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 4084811600960 in words is "four trillion, eighty-four billion, eight hundred eleven million, six hundred thousand, nine hundred sixty".