4208640403968 has 1440 divisors, whose sum is σ = 16632802682496. Its totient is φ = 989356032000.

The previous prime is 4208640403937. The next prime is 4208640403969. The reversal of 4208640403968 is 8693040468024.

4208640403968 is a `hidden beast` number, since 4 + 208 + 6 + 4 + 0 + 40 + 396 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4208640403969) 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 143 ways as a sum of consecutive naturals, for example, 23252156838 + ... + 23252157018.

Almost surely, 2^{4208640403968} is an apocalyptic number.

4208640403968 is a gapful number since it is divisible by the number (48) 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 4208640403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316401341248).

4208640403968 is an abundant number, since it is smaller than the sum of its proper divisors (12424162278528).

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

4208640403968 is a wasteful number, since it uses less digits than its factorization.

4208640403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4208640403968 in words is "four trillion, two hundred eight billion, six hundred forty million, four hundred three thousand, nine hundred sixty-eight".