4004104047636 has 192 divisors, whose sum is σ = 12209270685696. Its totient is φ = 990346262400.

The previous prime is 4004104047623. The next prime is 4004104047661. The reversal of 4004104047636 is 6367404014004.

It is a junction number, because it is equal to n+sod(n) for n = 4004104047594 and 4004104047603.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4316751 + ... + 5161641.

It is an arithmetic number, because the mean of its divisors is an integer number (63589951488).

Almost surely, 2^{4004104047636} is an apocalyptic number.

4004104047636 is a gapful number since it is divisible by the number (46) 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 4004104047636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104635342848).

4004104047636 is an abundant number, since it is smaller than the sum of its proper divisors (8205166638060).

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

4004104047636 is a wasteful number, since it uses less digits than its factorization.

4004104047636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845162 (or 845160 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 4004104047636 in words is "four trillion, four billion, one hundred four million, forty-seven thousand, six hundred thirty-six".