3994015991040 has 432 divisors, whose sum is σ = 14639223847248. Its totient is φ = 1001908076544.

The previous prime is 3994015991039. The next prime is 3994015991047. The reversal of 3994015991040 is 401995104993.

It is a happy number.

3994015991040 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 0 + 1 + 599 + 1 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1675388519424 + 2318627471616 = 1294368^2 + 1522704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994015991047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512509384 + ... + 512517176.

It is an arithmetic number, because the mean of its divisors is an integer number (33887092239).

Almost surely, 2^{3994015991040} is an apocalyptic number.

3994015991040 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 3994015991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319611923624).

3994015991040 is an abundant number, since it is smaller than the sum of its proper divisors (10645207856208).

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

3994015991040 is a wasteful number, since it uses less digits than its factorization.

3994015991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 3994015991040 in words is "three trillion, nine hundred ninety-four billion, fifteen million, nine hundred ninety-one thousand, forty".