1330444310400 has 1440 divisors, whose sum is σ = 5314862118720. Its totient is φ = 327363379200.

The previous prime is 1330444310381. The next prime is 1330444310401. The reversal of 1330444310400 is 40134440331.

1330444310400 is a `hidden beast` number, since 1 + 3 + 304 + 4 + 4 + 310 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330444310401) 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 179 ways as a sum of consecutive naturals, for example, 4250620644 + ... + 4250620956.

Almost surely, 2^{1330444310400} is an apocalyptic number.

1330444310400 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 1330444310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657431059360).

1330444310400 is an abundant number, since it is smaller than the sum of its proper divisors (3984417808320).

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

1330444310400 is a wasteful number, since it uses less digits than its factorization.

1330444310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1330444310400 its reverse (40134440331), we get a palindrome (1370578750731).

It can be divided in two parts, 133044 and 4310400, that added together give a palindrome (4443444).

The spelling of 1330444310400 in words is "one trillion, three hundred thirty billion, four hundred forty-four million, three hundred ten thousand, four hundred".