3001140464400 has 405 divisors, whose sum is σ = 11282634796797. Its totient is φ = 738409651200.

The previous prime is 3001140464389. The next prime is 3001140464419. The reversal of 3001140464400 is 44640411003.

The square root of 3001140464400 is 1732380.

It is a perfect power (a square), and thus also a powerful number.

3001140464400 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 14 + 0 + 4 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2468053568016 + 533086896384 = 1571004^2 + 730128^2 .

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 80 ways as a sum of consecutive naturals, for example, 1351255290 + ... + 1351257510.

Almost surely, 2^{3001140464400} is an apocalyptic number.

3001140464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3001140464400 is the 1732380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001140464400

3001140464400 is an abundant number, since it is smaller than the sum of its proper divisors (8281494332397).

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

3001140464400 is a wasteful number, since it uses less digits than its factorization.

3001140464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3001140464400 its reverse (44640411003), we get a palindrome (3045780875403).

The spelling of 3001140464400 in words is "three trillion, one billion, one hundred forty million, four hundred sixty-four thousand, four hundred".