1312417440 has 288 divisors, whose sum is σ = 4640702976. Its totient is φ = 337582080.

The previous prime is 1312417427. The next prime is 1312417471. The reversal of 1312417440 is 447142131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×1312417440⁵ (a number of 47 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5885169 + ... + 5885391.

It is an arithmetic number, because the mean of its divisors is an integer number (16113552).

Almost surely, 2^1312417440 is an apocalyptic number.

1312417440 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 1312417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320351488).

1312417440 is an abundant number, since it is smaller than the sum of its proper divisors (3328285536).

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

1312417440 is a wasteful number, since it uses less digits than its factorization.

1312417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1312417440 is about 36227.3024113030. The cubic root of 1312417440 is about 1094.8568274684.

Adding to 1312417440 its reverse (447142131), we get a palindrome (1759559571).

The spelling of 1312417440 in words is "one billion, three hundred twelve million, four hundred seventeen thousand, four hundred forty".