1268963447040 has 108 divisors (see below), whose sum is σ = 4390481382924. Its totient is φ = 338390249472.

The previous prime is 1268963446981. The next prime is 1268963447041. The reversal of 1268963447040 is 407443698621.

1268963447040 is a `hidden beast` number, since 1 + 26 + 89 + 6 + 34 + 470 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 978864869376 + 290098577664 = 989376^2 + 538608^2 .

It is a super-2 number, since 2×1268963447040² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268963447041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55065019 + ... + 55088058.

Almost surely, 2^{1268963447040} is an apocalyptic number.

1268963447040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268963447040 is an abundant number, since it is smaller than the sum of its proper divisors (3121517935884).

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

1268963447040 is a wasteful number, since it uses less digits than its factorization.

1268963447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110153104 (or 110153087 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1268963447040 in words is "one trillion, two hundred sixty-eight billion, nine hundred sixty-three million, four hundred forty-seven thousand, forty".