12829280040 has 64 divisors (see below), whose sum is σ = 42764270400. Its totient is φ = 3421141056.

The previous prime is 12829280021. The next prime is 12829280047. The reversal of 12829280040 is 4008292821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12829279977 and 12829280004.

It is not an unprimeable number, because it can be changed into a prime (12829280047) 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 15 ways as a sum of consecutive naturals, for example, 5938402 + ... + 5940561.

It is an arithmetic number, because the mean of its divisors is an integer number (668191725).

Almost surely, 2^12829280040 is an apocalyptic number.

12829280040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12829280040 is an abundant number, since it is smaller than the sum of its proper divisors (29934990360).

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

12829280040 is a wasteful number, since it uses less digits than its factorization.

12829280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878983 (or 11878973 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12829280040 in words is "twelve billion, eight hundred twenty-nine million, two hundred eighty thousand, forty".