1282933600416 has 72 divisors (see below), whose sum is σ = 3928984162740. Its totient is φ = 394748798976.

The previous prime is 1282933600393. The next prime is 1282933600423. The reversal of 1282933600416 is 6140063392821.

1282933600416 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 9 + 33 + 600 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 998840336400 + 284093264016 = 999420^2 + 533004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 171328201 + ... + 171335688.

Almost surely, 2^{1282933600416} is an apocalyptic number.

1282933600416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1282933600416 is an abundant number, since it is smaller than the sum of its proper divisors (2646050562324).

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

1282933600416 is a wasteful number, since it uses less digits than its factorization.

1282933600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342663918 (or 342663907 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1282933600416 in words is "one trillion, two hundred eighty-two billion, nine hundred thirty-three million, six hundred thousand, four hundred sixteen".