1349503027200 has 864 divisors, whose sum is σ = 5079181161600. Its totient is φ = 355053404160.

The previous prime is 1349503027199. The next prime is 1349503027273. The reversal of 1349503027200 is 27203059431.

1349503027200 is a `hidden beast` number, since 1 + 349 + 5 + 0 + 302 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 982885714 + ... + 982887086.

It is an arithmetic number, because the mean of its divisors is an integer number (5878681900).

Almost surely, 2^{1349503027200} is an apocalyptic number.

1349503027200 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 1349503027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539590580800).

1349503027200 is an abundant number, since it is smaller than the sum of its proper divisors (3729678134400).

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

1349503027200 is an equidigital number, since it uses as much as digits as its factorization.

1349503027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1349503027200 in words is "one trillion, three hundred forty-nine billion, five hundred three million, twenty-seven thousand, two hundred".