12673416400 has 30 divisors (see below), whose sum is σ = 30447883862. Its totient is φ = 5069366400.

The previous prime is 12673416391. The next prime is 12673416401. The reversal of 12673416400 is 461437621.

It can be written as a sum of positive squares in 3 ways, for example, as 2034731664 + 10638684736 = 45108^2 + 103144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12673416401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15841371 + ... + 15842170.

Almost surely, 2^12673416400 is an apocalyptic number.

12673416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12673416400 is an abundant number, since it is smaller than the sum of its proper divisors (17774467462).

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

12673416400 is a wasteful number, since it uses less digits than its factorization.

12673416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683559 (or 31683548 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 12673416400 in words is "twelve billion, six hundred seventy-three million, four hundred sixteen thousand, four hundred".