4208057464968 has 640 divisors, whose sum is σ = 14210735616000. Its totient is φ = 1137430356480.

The previous prime is 4208057464957. The next prime is 4208057464987. The reversal of 4208057464968 is 8694647508024.

4208057464968 is a `hidden beast` number, since 4 + 2 + 0 + 80 + 5 + 7 + 464 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6366198558 + ... + 6366199218.

It is an arithmetic number, because the mean of its divisors is an integer number (22204274400).

Almost surely, 2^{4208057464968} 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 4208057464968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105367808000).

4208057464968 is an abundant number, since it is smaller than the sum of its proper divisors (10002678151032).

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

4208057464968 is a wasteful number, since it uses less digits than its factorization.

4208057464968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4208057464968 in words is "four trillion, two hundred eight billion, fifty-seven million, four hundred sixty-four thousand, nine hundred sixty-eight".