4008671667200 has 264 divisors, whose sum is σ = 10076687312640. Its totient is φ = 1581008486400.

The previous prime is 4008671667179. The next prime is 4008671667227. The reversal of 4008671667200 is 27661768004.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630192020 + ... + 630198380.

Almost surely, 2^{4008671667200} is an apocalyptic number.

4008671667200 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 4008671667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038343656320).

4008671667200 is an abundant number, since it is smaller than the sum of its proper divisors (6068015645440).

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

4008671667200 is a wasteful number, since it uses less digits than its factorization.

4008671667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 4008671667200 in words is "four trillion, eight billion, six hundred seventy-one million, six hundred sixty-seven thousand, two hundred".