3991042021120 has 576 divisors, whose sum is σ = 12392473347072. Its totient is φ = 1195425792000.

The previous prime is 3991042021069. The next prime is 3991042021139. The reversal of 3991042021120 is 211202401993.

It is a super-2 number, since 2×3991042021120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270736950 + ... + 270751690.

It is an arithmetic number, because the mean of its divisors is an integer number (21514710672).

Almost surely, 2^{3991042021120} 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 3991042021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196236673536).

3991042021120 is an abundant number, since it is smaller than the sum of its proper divisors (8401431325952).

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

3991042021120 is a wasteful number, since it uses less digits than its factorization.

3991042021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14874 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 3991042021120 in words is "three trillion, nine hundred ninety-one billion, forty-two million, twenty-one thousand, one hundred twenty".