12405040040050 has 72 divisors (see below), whose sum is σ = 28419306470964. Its totient is φ = 4002970890240.

The previous prime is 12405040040017. The next prime is 12405040040111. The reversal of 12405040040050 is 5004004050421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2707614303289 + 9697425736761 = 1645483^2 + 3114069^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a junction number, because it is equal to n+sod(n) for n = 12405040039997 and 12405040040024.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148878399 + ... + 148961698.

Almost surely, 2^{12405040040050} is an apocalyptic number.

12405040040050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12405040040050 is an abundant number, since it is smaller than the sum of its proper divisors (16014266430914).

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

12405040040050 is a wasteful number, since it uses less digits than its factorization.

12405040040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297840140 (or 297840128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 12405040040050 its reverse (5004004050421), we get a palindrome (17409044090471).

The spelling of 12405040040050 in words is "twelve trillion, four hundred five billion, forty million, forty thousand, fifty".