4005968375808 has 416 divisors, whose sum is σ = 14277450329600. Its totient is φ = 1084318285824.

The previous prime is 4005968375767. The next prime is 4005968375839. The reversal of 4005968375808 is 8085738695004.

4005968375808 is a `hidden beast` number, since 4 + 0 + 0 + 596 + 8 + 37 + 5 + 8 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14572560 + ... + 14844912.

Almost surely, 2^{4005968375808} is an apocalyptic number.

4005968375808 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 4005968375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138725164800).

4005968375808 is an abundant number, since it is smaller than the sum of its proper divisors (10271481953792).

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

4005968375808 is a wasteful number, since it uses less digits than its factorization.

4005968375808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272412 (or 272384 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 4005968375808 in words is "four trillion, five billion, nine hundred sixty-eight million, three hundred seventy-five thousand, eight hundred eight".