1314210240 has 672 divisors, whose sum is σ = 5629777920. Its totient is φ = 274710528.

The previous prime is 1314210217. The next prime is 1314210241. The reversal of 1314210240 is 420124131.

1314210240 is a `hidden beast` number, since 1 + 3 + 1 + 421 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314210241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18002844 + ... + 18002916.

Almost surely, 2^1314210240 is an apocalyptic number.

1314210240 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 1314210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814888960).

1314210240 is an abundant number, since it is smaller than the sum of its proper divisors (4315567680).

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

1314210240 is a wasteful number, since it uses less digits than its factorization.

1314210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1314210240 is about 36252.0377358294. The cubic root of 1314210240 is about 1095.3551359496.

Adding to 1314210240 its reverse (420124131), we get a palindrome (1734334371).

The spelling of 1314210240 in words is "one billion, three hundred fourteen million, two hundred ten thousand, two hundred forty".