1268209440 has 384 divisors, whose sum is σ = 4702924800. Its totient is φ = 318689280.

The previous prime is 1268209403. The next prime is 1268209483. The reversal of 1268209440 is 449028621.

1268209440 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 209 + 440 = 666.

It is a super-2 number, since 2×1268209440² = 3216710367410227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1268209395 and 1268209404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6639745 + ... + 6639935.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^1268209440 is an apocalyptic number.

1268209440 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 1268209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1268209440 is an abundant number, since it is smaller than the sum of its proper divisors (3434715360).

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

1268209440 is a wasteful number, since it uses less digits than its factorization.

1268209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1268209440 is about 35611.9283386901. The cubic root of 1268209440 is about 1082.4229551525.

The spelling of 1268209440 in words is "one billion, two hundred sixty-eight million, two hundred nine thousand, four hundred forty".