4084681104 has 240 divisors, whose sum is σ = 13820385280. Its totient is φ = 1100148480.

The previous prime is 4084681099. The next prime is 4084681109. The reversal of 4084681104 is 4011864804.

It is an interprime number because it is at equal distance from previous prime (4084681099) and next prime (4084681109).

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

It is not an unprimeable number, because it can be changed into a prime (4084681109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189799 + ... + 5190585.

Almost surely, 2^4084681104 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 4084681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910192640).

4084681104 is an abundant number, since it is smaller than the sum of its proper divisors (9735704176).

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

4084681104 is a wasteful number, since it uses less digits than its factorization.

4084681104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4084681104 is about 63911.5099493041. The cubic root of 4084681104 is about 1598.5248257477.

The spelling of 4084681104 in words is "four billion, eighty-four million, six hundred eighty-one thousand, one hundred four".