1280416000 has 72 divisors (see below), whose sum is σ = 3189756024. Its totient is φ = 512153600.

The previous prime is 1280415991. The next prime is 1280416037. The reversal of 1280416000 is 6140821.

It can be written as a sum of positive squares in 4 ways, for example, as 77158656 + 1203257344 = 8784^2 + 34688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11994 + ... + 52006.

It is an arithmetic number, because the mean of its divisors is an integer number (44302167).

Almost surely, 2^1280416000 is an apocalyptic number.

1280416000 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 1280416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594878012).

1280416000 is an abundant number, since it is smaller than the sum of its proper divisors (1909340024).

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

1280416000 is an frugal number, since it uses more digits than its factorization.

1280416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40044 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1280416000 is about 35782.9009444455. The cubic root of 1280416000 is about 1085.8846586610.

Adding to 1280416000 its reverse (6140821), we get a palindrome (1286556821).

The spelling of 1280416000 in words is "one billion, two hundred eighty million, four hundred sixteen thousand".