4088008434160 has 160 divisors (see below), whose sum is σ = 11437022269440. Its totient is φ = 1327498315776.

The previous prime is 4088008434113. The next prime is 4088008434161. The reversal of 4088008434160 is 614348008804.

4088008434160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4088008434160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4088008434161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43864732 + ... + 43957828.

It is an arithmetic number, because the mean of its divisors is an integer number (71481389184).

Almost surely, 2^{4088008434160} is an apocalyptic number.

4088008434160 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 4088008434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718511134720).

4088008434160 is an abundant number, since it is smaller than the sum of its proper divisors (7349013835280).

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

4088008434160 is a wasteful number, since it uses less digits than its factorization.

4088008434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97263 (or 97257 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 4088008434160 in words is "four trillion, eighty-eight billion, eight million, four hundred thirty-four thousand, one hundred sixty".