3300044404140 has 480 divisors, whose sum is σ = 11460495283776. Its totient is φ = 788264386560.

The previous prime is 3300044404123. The next prime is 3300044404157. The reversal of 3300044404140 is 414044400033.

3300044404140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3300044404123) and next prime (3300044404157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348358444 + ... + 348367916.

Almost surely, 2^{3300044404140} is an apocalyptic number.

3300044404140 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 3300044404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730247641888).

3300044404140 is an abundant number, since it is smaller than the sum of its proper divisors (8160450879636).

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

3300044404140 is a wasteful number, since it uses less digits than its factorization.

3300044404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3300044404140 its reverse (414044400033), we get a palindrome (3714088804173).

The spelling of 3300044404140 in words is "three trillion, three hundred billion, forty-four million, four hundred four thousand, one hundred forty".