1314090133200 has 720 divisors, whose sum is σ = 5285371933296. Its totient is φ = 299438899200.

The previous prime is 1314090133189. The next prime is 1314090133243. The reversal of 1314090133200 is 23310904131.

It can be written as a sum of positive squares in 24 ways, for example, as 1035534182544 + 278555950656 = 1017612^2 + 527784^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 48518062 + ... + 48545138.

Almost surely, 2^{1314090133200} is an apocalyptic number.

1314090133200 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 1314090133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642685966648).

1314090133200 is an abundant number, since it is smaller than the sum of its proper divisors (3971281800096).

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

1314090133200 is a wasteful number, since it uses less digits than its factorization.

1314090133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192 (or 27178 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1314090133200 in words is "one trillion, three hundred fourteen billion, ninety million, one hundred thirty-three thousand, two hundred".