3315330044400 has 240 divisors, whose sum is σ = 11868148389888. Its totient is φ = 784113408000.

The previous prime is 3315330044309. The next prime is 3315330044417. The reversal of 3315330044400 is 44400335133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2521744 + ... + 3604143.

Almost surely, 2^{3315330044400} is an apocalyptic number.

3315330044400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3315330044400 is an abundant number, since it is smaller than the sum of its proper divisors (8552818345488).

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

3315330044400 is a wasteful number, since it uses less digits than its factorization.

3315330044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125960 (or 6125949 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3315330044400 its reverse (44400335133), we get a palindrome (3359730379533).

The spelling of 3315330044400 in words is "three trillion, three hundred fifteen billion, three hundred thirty million, forty-four thousand, four hundred".