4006684320000 has 360 divisors, whose sum is σ = 13338923853024. Its totient is φ = 1067354112000.

The previous prime is 4006684319993. The next prime is 4006684320053. The reversal of 4006684320000 is 234866004.

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 39 ways as a sum of consecutive naturals, for example, 539036284 + ... + 539043716.

Almost surely, 2^{4006684320000} is an apocalyptic number.

4006684320000 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 4006684320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669461926512).

4006684320000 is an abundant number, since it is smaller than the sum of its proper divisors (9332239533024).

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

4006684320000 is an equidigital number, since it uses as much as digits as its factorization.

4006684320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 4006684320000 in words is "four trillion, six billion, six hundred eighty-four million, three hundred twenty thousand".