1314949927200 has 1296 divisors, whose sum is σ = 5449848687360. Its totient is φ = 274441789440.

The previous prime is 1314949927169. The next prime is 1314949927211. The reversal of 1314949927200 is 27299494131.

It is a super-2 number, since 2×1314949927200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2166309297 + ... + 2166309903.

It is an arithmetic number, because the mean of its divisors is an integer number (4205130160).

Almost surely, 2^{1314949927200} is an apocalyptic number.

1314949927200 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 1314949927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724924343680).

1314949927200 is an abundant number, since it is smaller than the sum of its proper divisors (4134898760160).

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

1314949927200 is a wasteful number, since it uses less digits than its factorization.

1314949927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 1314949927200 in words is "one trillion, three hundred fourteen billion, nine hundred forty-nine million, nine hundred twenty-seven thousand, two hundred".