1364143955200 has 432 divisors, whose sum is σ = 3687666942960. Its totient is φ = 496608215040.

The previous prime is 1364143955197. The next prime is 1364143955221. The reversal of 1364143955200 is 25593414631.

It can be written as a sum of positive squares in 24 ways, for example, as 1364111874304 + 32080896 = 1167952^2 + 5664^2 .

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 47 ways as a sum of consecutive naturals, for example, 3506796606 + ... + 3506796994.

Almost surely, 2^{1364143955200} is an apocalyptic number.

1364143955200 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 1364143955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843833471480).

1364143955200 is an abundant number, since it is smaller than the sum of its proper divisors (2323522987760).

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

1364143955200 is a wasteful number, since it uses less digits than its factorization.

1364143955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 1364143955200 in words is "one trillion, three hundred sixty-four billion, one hundred forty-three million, nine hundred fifty-five thousand, two hundred".