1314344640 has 168 divisors, whose sum is σ = 4854531312. Its totient is φ = 300410880.

The previous prime is 1314344621. The next prime is 1314344651. The reversal of 1314344640 is 464434131.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1314344598 and 1314344607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33070 + ... + 61010.

Almost surely, 2^1314344640 is an apocalyptic number.

1314344640 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 1314344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427265656).

1314344640 is an abundant number, since it is smaller than the sum of its proper divisors (3540186672).

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

1314344640 is a wasteful number, since it uses less digits than its factorization.

1314344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27975 (or 27958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1314344640 is about 36253.8913773404. The cubic root of 1314344640 is about 1095.3924741440.

Adding to 1314344640 its reverse (464434131), we get a palindrome (1778778771).

The spelling of 1314344640 in words is "one billion, three hundred fourteen million, three hundred forty-four thousand, six hundred forty".