1330464844800 has 3168 divisors, whose sum is σ = 6386231255040. Its totient is φ = 256927334400.

The previous prime is 1330464844727. The next prime is 1330464844801. The reversal of 1330464844800 is 84484640331.

1330464844800 is a `hidden beast` number, since 1 + 3 + 30 + 4 + 64 + 84 + 480 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1330464844801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 14949043156 + ... + 14949043244.

Almost surely, 2^{1330464844800} is an apocalyptic number.

1330464844800 is a gapful number since it is divisible by the number (10) 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 1330464844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193115627520).

1330464844800 is an abundant number, since it is smaller than the sum of its proper divisors (5055766410240).

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

1330464844800 is a wasteful number, since it uses less digits than its factorization.

1330464844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1330464844800 in words is "one trillion, three hundred thirty billion, four hundred sixty-four million, eight hundred forty-four thousand, eight hundred".