1314516140 has 144 divisors (see below), whose sum is σ = 3405991680. Its totient is φ = 423722880.

The previous prime is 1314516097. The next prime is 1314516221. The reversal of 1314516140 is 416154131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226585 + ... + 4226895.

It is an arithmetic number, because the mean of its divisors is an integer number (23652720).

Almost surely, 2^1314516140 is an apocalyptic number.

1314516140 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 1314516140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702995840).

1314516140 is an abundant number, since it is smaller than the sum of its proper divisors (2091475540).

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

1314516140 is a wasteful number, since it uses less digits than its factorization.

1314516140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1314516140 is about 36256.2565635229. The cubic root of 1314516140 is about 1095.4401155396.

The spelling of 1314516140 in words is "one billion, three hundred fourteen million, five hundred sixteen thousand, one hundred forty".