1314260640 has 576 divisors, whose sum is σ = 5811886080. Its totient is φ = 272471040.

The previous prime is 1314260639. The next prime is 1314260693. The reversal of 1314260640 is 460624131.

1314260640 is a `hidden beast` number, since 1 + 3 + 14 + 2 + 6 + 0 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993541 + ... + 2993979.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^1314260640 is an apocalyptic number.

1314260640 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 1314260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

1314260640 is an abundant number, since it is smaller than the sum of its proper divisors (4497625440).

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

1314260640 is a wasteful number, since it uses less digits than its factorization.

1314260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1314260640 is about 36252.7328625029. The cubic root of 1314260640 is about 1095.3691380708.

Adding to 1314260640 its reverse (460624131), we get a palindrome (1774884771).

The spelling of 1314260640 in words is "one billion, three hundred fourteen million, two hundred sixty thousand, six hundred forty".