1268409465600 has 216 divisors, whose sum is σ = 4209412455360. Its totient is φ = 336351989760.

The previous prime is 1268409465599. The next prime is 1268409465601. The reversal of 1268409465600 is 65649048621.

It is an interprime number because it is at equal distance from previous prime (1268409465599) and next prime (1268409465601).

It is not an unprimeable number, because it can be changed into a prime (1268409465601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3252267 + ... + 3621333.

Almost surely, 2^{1268409465600} is an apocalyptic number.

1268409465600 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 1268409465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104706227680).

1268409465600 is an abundant number, since it is smaller than the sum of its proper divisors (2941002989760).

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

1268409465600 is a wasteful number, since it uses less digits than its factorization.

1268409465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369275 (or 369256 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1268409465600 in words is "one trillion, two hundred sixty-eight billion, four hundred nine million, four hundred sixty-five thousand, six hundred".