4208380885440 has 448 divisors, whose sum is σ = 14942155536000. Its totient is φ = 1115000635392.

The previous prime is 4208380885427. The next prime is 4208380885451. The reversal of 4208380885440 is 445880838024.

4208380885440 is a `hidden beast` number, since 4 + 208 + 380 + 8 + 8 + 54 + 4 + 0 = 666.

4208380885440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1785480742 + ... + 1785483098.

It is an arithmetic number, because the mean of its divisors is an integer number (33353025750).

Almost surely, 2^{4208380885440} is an apocalyptic number.

4208380885440 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 4208380885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471077768000).

4208380885440 is an abundant number, since it is smaller than the sum of its proper divisors (10733774650560).

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

4208380885440 is a wasteful number, since it uses less digits than its factorization.

4208380885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 4208380885440 in words is "four trillion, two hundred eight billion, three hundred eighty million, eight hundred eighty-five thousand, four hundred forty".