1314112240 has 160 divisors (see below), whose sum is σ = 3719761920. Its totient is φ = 421466112.

The previous prime is 1314112231. The next prime is 1314112271. The reversal of 1314112240 is 422114131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122651 + ... + 2123269.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 2^1314112240 is an apocalyptic number.

1314112240 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 1314112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859880960).

1314112240 is an abundant number, since it is smaller than the sum of its proper divisors (2405649680).

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

1314112240 is a wasteful number, since it uses less digits than its factorization.

1314112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1314112240 is about 36250.6860624734. The cubic root of 1314112240 is about 1095.3279085780.

Adding to 1314112240 its reverse (422114131), we get a palindrome (1736226371).

The spelling of 1314112240 in words is "one billion, three hundred fourteen million, one hundred twelve thousand, two hundred forty".