413240420011240 has 64 divisors (see below), whose sum is σ = 961856363941200. Its totient is φ = 159595692490752.

The previous prime is 413240420011207. The next prime is 413240420011241. The reversal of 413240420011240 is 42110024042314.

It can be written as a sum of positive squares in 8 ways, for example, as 309691926940356 + 103548493070884 = 17598066^2 + 10175878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413240420011199 and 413240420011208.

It is not an unprimeable number, because it can be changed into a prime (413240420011241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412660584 + ... + 413660776.

Almost surely, 2^{413240420011240} is an apocalyptic number.

413240420011240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413240420011240 is an abundant number, since it is smaller than the sum of its proper divisors (548615943929960).

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

413240420011240 is a wasteful number, since it uses less digits than its factorization.

413240420011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356406 (or 1356402 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 413240420011240 its reverse (42110024042314), we get a palindrome (455350444053554).

The spelling of 413240420011240 in words is "four hundred thirteen trillion, two hundred forty billion, four hundred twenty million, eleven thousand, two hundred forty".