1313418240 has 220 divisors, whose sum is σ = 4708034496. Its totient is φ = 350134272.

The previous prime is 1313418233. The next prime is 1313418247. The reversal of 1313418240 is 428143131.

1313418240 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 418 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1313418233) and next prime (1313418247).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1313418247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413137 + ... + 416303.

Almost surely, 2^1313418240 is an apocalyptic number.

1313418240 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 1313418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354017248).

1313418240 is an abundant number, since it is smaller than the sum of its proper divisors (3394616256).

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

1313418240 is an equidigital number, since it uses as much as digits as its factorization.

1313418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1313418240 is about 36241.1125657036. The cubic root of 1313418240 is about 1095.1350555880.

The spelling of 1313418240 in words is "one billion, three hundred thirteen million, four hundred eighteen thousand, two hundred forty".