12773400480 has 288 divisors, whose sum is σ = 45095778000. Its totient is φ = 3289890816.

The previous prime is 12773400469. The next prime is 12773400481. The reversal of 12773400480 is 8400437721.

It is a happy number.

12773400480 is a `hidden beast` number, since 1 + 277 + 340 + 0 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9520295184 + 3253105296 = 97572^2 + 57036^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12773400481) 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 47 ways as a sum of consecutive naturals, for example, 7937916 + ... + 7939524.

Almost surely, 2^12773400480 is an apocalyptic number.

12773400480 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 12773400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22547889000).

12773400480 is an abundant number, since it is smaller than the sum of its proper divisors (32322377520).

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

12773400480 is a wasteful number, since it uses less digits than its factorization.

12773400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12773400480 in words is "twelve billion, seven hundred seventy-three million, four hundred thousand, four hundred eighty".