413040413040040 has 64 divisors (see below), whose sum is σ = 929705005656000. Its totient is φ = 165151446420480.

The previous prime is 413040413040037. The next prime is 413040413040103. The reversal of 413040413040040 is 40040314040314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413040413039990 and 413040413040008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601405855 + ... + 2601564625.

It is an arithmetic number, because the mean of its divisors is an integer number (14526640713375).

Almost surely, 2^{413040413040040} is an apocalyptic number.

413040413040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413040413040040 is an abundant number, since it is smaller than the sum of its proper divisors (516664592615960).

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

413040413040040 is a wasteful number, since it uses less digits than its factorization.

413040413040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183850 (or 183846 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 413040413040040 its reverse (40040314040314), we get a palindrome (453080727080354).

The spelling of 413040413040040 in words is "four hundred thirteen trillion, forty billion, four hundred thirteen million, forty thousand, forty".