413651122340 has 48 divisors (see below), whose sum is σ = 883848523824. Its totient is φ = 162574579200.

The previous prime is 413651122309. The next prime is 413651122351. The reversal of 413651122340 is 43221156314.

It can be written as a sum of positive squares in 8 ways, for example, as 103493463616 + 310157658724 = 321704^2 + 556918^2 .

It is a super-2 number, since 2×413651122340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413651122297 and 413651122306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967862 + ... + 1328178.

It is an arithmetic number, because the mean of its divisors is an integer number (18413510913).

Almost surely, 2^413651122340 is an apocalyptic number.

It is an amenable number.

413651122340 is an abundant number, since it is smaller than the sum of its proper divisors (470197401484).

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

413651122340 is a wasteful number, since it uses less digits than its factorization.

413651122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361328 (or 361326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 413651122340 its reverse (43221156314), we get a palindrome (456872278654).

The spelling of 413651122340 in words is "four hundred thirteen billion, six hundred fifty-one million, one hundred twenty-two thousand, three hundred forty".