1312764440 has 192 divisors, whose sum is σ = 3423228480. Its totient is φ = 449971200.

The previous prime is 1312764421. The next prime is 1312764443. The reversal of 1312764440 is 444672131.

It is a junction number, because it is equal to n+sod(n) for n = 1312764397 and 1312764406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312764443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18489605 + ... + 18489675.

It is an arithmetic number, because the mean of its divisors is an integer number (17829315).

Almost surely, 2^1312764440 is an apocalyptic number.

1312764440 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 1312764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711614240).

1312764440 is an abundant number, since it is smaller than the sum of its proper divisors (2110464040).

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

1312764440 is a wasteful number, since it uses less digits than its factorization.

1312764440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1312764440 is about 36232.0913003928. The cubic root of 1312764440 is about 1094.9533114654.

The spelling of 1312764440 in words is "one billion, three hundred twelve million, seven hundred sixty-four thousand, four hundred forty".