1314728755200 has 2520 divisors, whose sum is σ = 6075256596192. Its totient is φ = 275188285440.

The previous prime is 1314728755169. The next prime is 1314728755231. The reversal of 1314728755200 is 25578274131.

1314728755200 is a `hidden beast` number, since 1 + 3 + 1 + 47 + 2 + 87 + 5 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1314728755169) and next prime (1314728755231).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35533209582 + ... + 35533209618.

Almost surely, 2^{1314728755200} is an apocalyptic number.

1314728755200 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 1314728755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037628298096).

1314728755200 is an abundant number, since it is smaller than the sum of its proper divisors (4760527840992).

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

1314728755200 is an frugal number, since it uses more digits than its factorization.

1314728755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1314728755200 in words is "one trillion, three hundred fourteen billion, seven hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".