1363945321200 has 360 divisors, whose sum is σ = 5544554232960. Its totient is φ = 283417075200.

The previous prime is 1363945321159. The next prime is 1363945321217. The reversal of 1363945321200 is 21235493631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407580 + ... + 1701179.

It is an arithmetic number, because the mean of its divisors is an integer number (15401539536).

Almost surely, 2^{1363945321200} is an apocalyptic number.

1363945321200 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 1363945321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772277116480).

1363945321200 is an abundant number, since it is smaller than the sum of its proper divisors (4180608911760).

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

1363945321200 is a wasteful number, since it uses less digits than its factorization.

1363945321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108805 (or 2108787 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 1363945321200 in words is "one trillion, three hundred sixty-three billion, nine hundred forty-five million, three hundred twenty-one thousand, two hundred".