1314115200 has 288 divisors, whose sum is σ = 4745276640. Its totient is φ = 346245120.

The previous prime is 1314115169. The next prime is 1314115211. The reversal of 1314115200 is 25114131.

1314115200 is a `hidden beast` number, since 1 + 3 + 141 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2966179 + ... + 2966621.

It is an arithmetic number, because the mean of its divisors is an integer number (16476655).

Almost surely, 2^1314115200 is an apocalyptic number.

1314115200 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 1314115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372638320).

1314115200 is an abundant number, since it is smaller than the sum of its proper divisors (3431161440).

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

1314115200 is a wasteful number, since it uses less digits than its factorization.

1314115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1314115200 is about 36250.7268892639. The cubic root of 1314115200 is about 1095.3287309756.

Adding to 1314115200 its reverse (25114131), we get a palindrome (1339229331).

The spelling of 1314115200 in words is "one billion, three hundred fourteen million, one hundred fifteen thousand, two hundred".