12345504040 has 64 divisors (see below), whose sum is σ = 29523605760. Its totient is φ = 4629980160.

The previous prime is 12345504019. The next prime is 12345504043. The reversal of 12345504040 is 4040554321.

It is a super-2 number, since 2×12345504040² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12345504043) 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, 144325 + ... + 213355.

It is an arithmetic number, because the mean of its divisors is an integer number (461306340).

Almost surely, 2^12345504040 is an apocalyptic number.

12345504040 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 12345504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761802880).

12345504040 is an abundant number, since it is smaller than the sum of its proper divisors (17178101720).

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

12345504040 is a wasteful number, since it uses less digits than its factorization.

12345504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69322 (or 69318 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 12345504040 in words is "twelve billion, three hundred forty-five million, five hundred four thousand, forty".