4084290906624 has 240 divisors, whose sum is σ = 13137820375680. Its totient is φ = 1213906452480.

The previous prime is 4084290906589. The next prime is 4084290906629. The reversal of 4084290906624 is 4266090924804.

4084290906624 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 2 + 9 + 0 + 9 + 0 + 6 + 624 = 666.

4084290906624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4084290906629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116329 + ... + 2860439.

It is an arithmetic number, because the mean of its divisors is an integer number (54740918232).

Almost surely, 2^{4084290906624} 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 4084290906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568910187840).

4084290906624 is an abundant number, since it is smaller than the sum of its proper divisors (9053529469056).

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

4084290906624 is a wasteful number, since it uses less digits than its factorization.

4084290906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744171 (or 2744152 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4084290906624 in words is "four trillion, eighty-four billion, two hundred ninety million, nine hundred six thousand, six hundred twenty-four".