3994360128000 has 2240 divisors, whose sum is σ = 16761994913664. Its totient is φ = 940584960000.

The previous prime is 3994360127987. The next prime is 3994360128013. The reversal of 3994360128000 is 8210634993.

It is a happy number.

3994360128000 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 360 + 1 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3994360127987) and next prime (3994360128013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22068287910 + ... + 22068288090.

Almost surely, 2^{3994360128000} is an apocalyptic number.

3994360128000 is a gapful number since it is divisible by the number (30) 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 3994360128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380997456832).

3994360128000 is an abundant number, since it is smaller than the sum of its proper divisors (12767634785664).

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

3994360128000 is an equidigital number, since it uses as much as digits as its factorization.

3994360128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3994360128000 in words is "three trillion, nine hundred ninety-four billion, three hundred sixty million, one hundred twenty-eight thousand".