1314105480 has 96 divisors (see below), whose sum is σ = 4288152960. Its totient is φ = 349008000.

The previous prime is 1314105467. The next prime is 1314105487. The reversal of 1314105480 is 845014131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1314105487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83089 + ... + 97631.

It is an arithmetic number, because the mean of its divisors is an integer number (44668260).

Almost surely, 2^1314105480 is an apocalyptic number.

1314105480 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 1314105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144076480).

1314105480 is an abundant number, since it is smaller than the sum of its proper divisors (2974047480).

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

1314105480 is a wasteful number, since it uses less digits than its factorization.

1314105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811 (or 14804 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1314105480 is about 36250.5928227388. The cubic root of 1314105480 is about 1095.3260303951.

The spelling of 1314105480 in words is "one billion, three hundred fourteen million, one hundred five thousand, four hundred eighty".