1268400000 has 384 divisors, whose sum is σ = 4844689920. Its totient is φ = 288000000.

The previous prime is 1268399987. The next prime is 1268400011. The reversal of 1268400000 is 48621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1268400000.

It is a congruent number.

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, 8399925 + ... + 8400075.

It is an arithmetic number, because the mean of its divisors is an integer number (12616380).

Almost surely, 2^1268400000 is an apocalyptic number.

1268400000 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 1268400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960).

1268400000 is an abundant number, since it is smaller than the sum of its proper divisors (3576289920).

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

1268400000 is an frugal number, since it uses more digits than its factorization.

1268400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1268400000 is about 35614.6037462162. The cubic root of 1268400000 is about 1082.4771670678.

Adding to 1268400000 its reverse (48621), we get a palindrome (1268448621).

The spelling of 1268400000 in words is "one billion, two hundred sixty-eight million, four hundred thousand".