1441302134400 has 288 divisors, whose sum is σ = 5320240649100. Its totient is φ = 371093667840.

The previous prime is 1441302134357. The next prime is 1441302134411. The reversal of 1441302134400 is 44312031441.

1441302134400 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 0 + 213 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 922106949696 + 519195184704 = 960264^2 + 720552^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 27649 + ... + 1698048.

Almost surely, 2^{1441302134400} is an apocalyptic number.

1441302134400 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 1441302134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660120324550).

1441302134400 is an abundant number, since it is smaller than the sum of its proper divisors (3878938514700).

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

1441302134400 is a wasteful number, since it uses less digits than its factorization.

1441302134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725756 (or 1725736 counting only the distinct ones).

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

Adding to 1441302134400 its reverse (44312031441), we get a palindrome (1485614165841).

The spelling of 1441302134400 in words is "one trillion, four hundred forty-one billion, three hundred two million, one hundred thirty-four thousand, four hundred".