3940040673120 has 192 divisors, whose sum is σ = 12767258460096. Its totient is φ = 1020621127680.

The previous prime is 3940040673071. The next prime is 3940040673133. The reversal of 3940040673120 is 213760400493.

3940040673120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10778140 + ... + 11137700.

It is an arithmetic number, because the mean of its divisors is an integer number (66496137813).

Almost surely, 2^{3940040673120} is an apocalyptic number.

3940040673120 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 3940040673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383629230048).

3940040673120 is an abundant number, since it is smaller than the sum of its proper divisors (8827217786976).

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

3940040673120 is a wasteful number, since it uses less digits than its factorization.

3940040673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360233 (or 360225 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 3940040673120 in words is "three trillion, nine hundred forty billion, forty million, six hundred seventy-three thousand, one hundred twenty".