4008556967968 has 96 divisors (see below), whose sum is σ = 9554760528768. Its totient is φ = 1616056627200.

The previous prime is 4008556967939. The next prime is 4008556967977. The reversal of 4008556967968 is 8697696558004.

It is a self number, because there is not a number n which added to its sum of digits gives 4008556967968.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7080678 + ... + 7625818.

It is an arithmetic number, because the mean of its divisors is an integer number (99528755508).

Almost surely, 2^{4008556967968} 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 4008556967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777380264384).

4008556967968 is an abundant number, since it is smaller than the sum of its proper divisors (5546203560800).

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

4008556967968 is a wasteful number, since it uses less digits than its factorization.

4008556967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547106 (or 547098 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 4008556967968 in words is "four trillion, eight billion, five hundred fifty-six million, nine hundred sixty-seven thousand, nine hundred sixty-eight".