4084408044840 has 128 divisors (see below), whose sum is σ = 12428485776000. Its totient is φ = 1073655152640.

The previous prime is 4084408044809. The next prime is 4084408044907. The reversal of 4084408044840 is 484408044804.

It is a super-2 number, since 2×4084408044840² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4084408044840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4015380 + ... + 4928700.

It is an arithmetic number, because the mean of its divisors is an integer number (97097545125).

Almost surely, 2^{4084408044840} is an apocalyptic number.

4084408044840 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 4084408044840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214242888000).

4084408044840 is an abundant number, since it is smaller than the sum of its proper divisors (8344077731160).

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

4084408044840 is a wasteful number, since it uses less digits than its factorization.

4084408044840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913867 (or 913863 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4084408044840 in words is "four trillion, eighty-four billion, four hundred eight million, forty-four thousand, eight hundred forty".