1314442133200 has 240 divisors, whose sum is σ = 3736235151360. Its totient is φ = 434810880000.

The previous prime is 1314442133189. The next prime is 1314442133231. The reversal of 1314442133200 is 23312444131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129996145 + ... + 130006255.

It is an arithmetic number, because the mean of its divisors is an integer number (15567646464).

Almost surely, 2^{1314442133200} is an apocalyptic number.

1314442133200 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 1314442133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868117575680).

1314442133200 is an abundant number, since it is smaller than the sum of its proper divisors (2421793018160).

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

1314442133200 is a wasteful number, since it uses less digits than its factorization.

1314442133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1314442133200 its reverse (23312444131), we get a palindrome (1337754577331).

The spelling of 1314442133200 in words is "one trillion, three hundred fourteen billion, four hundred forty-two million, one hundred thirty-three thousand, two hundred".