1314368440 has 64 divisors (see below), whose sum is σ = 3687068160. Its totient is φ = 409672320.

The previous prime is 1314368399. The next prime is 1314368443. The reversal of 1314368440 is 448634131.

It is a junction number, because it is equal to n+sod(n) for n = 1314368396 and 1314368405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314368443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210292 + ... + 216451.

It is an arithmetic number, because the mean of its divisors is an integer number (57610440).

Almost surely, 2^1314368440 is an apocalyptic number.

1314368440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314368440 is an abundant number, since it is smaller than the sum of its proper divisors (2372699720).

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

1314368440 is a wasteful number, since it uses less digits than its factorization.

1314368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426772 (or 426768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1314368440 is about 36254.2196164805. The cubic root of 1314368440 is about 1095.3990858506.

It can be divided in two parts, 131436 and 8440, that added together give a square (139876 = 374²).

The spelling of 1314368440 in words is "one billion, three hundred fourteen million, three hundred sixty-eight thousand, four hundred forty".