3300666071040 has 960 divisors, whose sum is σ = 13295597515200. Its totient is φ = 777088401408.

The previous prime is 3300666071029. The next prime is 3300666071111. The reversal of 3300666071040 is 401706660033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3300666070986 and 3300666071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247995906 + ... + 248009214.

It is an arithmetic number, because the mean of its divisors is an integer number (13849580745).

Almost surely, 2^{3300666071040} is an apocalyptic number.

3300666071040 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 3300666071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647798757600).

3300666071040 is an abundant number, since it is smaller than the sum of its proper divisors (9994931444160).

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

3300666071040 is a wasteful number, since it uses less digits than its factorization.

3300666071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13384 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3300666071040 in words is "three trillion, three hundred billion, six hundred sixty-six million, seventy-one thousand, forty".