3316641440112 has 1920 divisors, whose sum is σ = 13821675356160. Its totient is φ = 733967308800.

The previous prime is 3316641440107. The next prime is 3316641440141. The reversal of 3316641440112 is 2110441466133.

3316641440112 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 641 + 4 + 4 + 0 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×3316641440112² (a number of 26 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 9558044323 + ... + 9558044669.

It is an arithmetic number, because the mean of its divisors is an integer number (7198789248).

Almost surely, 2^{3316641440112} 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 3316641440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910837678080).

3316641440112 is an abundant number, since it is smaller than the sum of its proper divisors (10505033916048).

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

3316641440112 is a wasteful number, since it uses less digits than its factorization.

3316641440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 33166 and 41440112, that added together give a triangular number (41473278 = T₉₁₀₇).

The spelling of 3316641440112 in words is "three trillion, three hundred sixteen billion, six hundred forty-one million, four hundred forty thousand, one hundred twelve".