4084635044352 has 320 divisors, whose sum is σ = 11870440243200. Its totient is φ = 1243197849600.

The previous prime is 4084635044311. The next prime is 4084635044353. The reversal of 4084635044352 is 2534405364804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4084635044353) 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 31 ways as a sum of consecutive naturals, for example, 513721977 + ... + 513729927.

It is an arithmetic number, because the mean of its divisors is an integer number (37095125760).

Almost surely, 2^{4084635044352} 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 4084635044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935220121600).

4084635044352 is an abundant number, since it is smaller than the sum of its proper divisors (7785805198848).

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

4084635044352 is a wasteful number, since it uses less digits than its factorization.

4084635044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 4084635044352 in words is "four trillion, eighty-four billion, six hundred thirty-five million, forty-four thousand, three hundred fifty-two".