1314352440 has 128 divisors (see below), whose sum is σ = 4455648000. Its totient is φ = 344536704.

The previous prime is 1314352427. The next prime is 1314352453. The reversal of 1314352440 is 442534131.

It is a happy number.

1314352440 is a `hidden beast` number, since 131 + 4 + 3 + 524 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1314352427) and next prime (1314352453).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 53407 + ... + 74033.

It is an arithmetic number, because the mean of its divisors is an integer number (34809750).

Almost surely, 2^1314352440 is an apocalyptic number.

1314352440 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 1314352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227824000).

1314352440 is an abundant number, since it is smaller than the sum of its proper divisors (3141295560).

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

1314352440 is a wasteful number, since it uses less digits than its factorization.

1314352440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20706 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1314352440 is about 36253.9989518398. The cubic root of 1314352440 is about 1095.3946410146.

Adding to 1314352440 its reverse (442534131), we get a palindrome (1756886571).

The spelling of 1314352440 in words is "one billion, three hundred fourteen million, three hundred fifty-two thousand, four hundred forty".