3994010291200 has 264 divisors, whose sum is σ = 10298629439280. Its totient is φ = 1533940531200.

The previous prime is 3994010291189. The next prime is 3994010291203. The reversal of 3994010291200 is 21920104993.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3994010291203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134359539 + ... + 134389261.

Almost surely, 2^{3994010291200} 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 3994010291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149314719640).

3994010291200 is an abundant number, since it is smaller than the sum of its proper divisors (6304619148080).

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

3994010291200 is a wasteful number, since it uses less digits than its factorization.

3994010291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29963 (or 29940 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 3994010291200 in words is "three trillion, nine hundred ninety-four billion, ten million, two hundred ninety-one thousand, two hundred".