413141241514340 has 48 divisors (see below), whose sum is σ = 882558666848880. Its totient is φ = 162411122196480.

The previous prime is 413141241514307. The next prime is 413141241514367. The reversal of 413141241514340 is 43415142141314.

It can be written as a sum of positive squares in 8 ways, for example, as 150908301456676 + 262232940057664 = 12284474^2 + 16193608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413141241514294 and 413141241514303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140472605 + ... + 143383524.

It is an arithmetic number, because the mean of its divisors is an integer number (18386638892685).

Almost surely, 2^{413141241514340} is an apocalyptic number.

It is an amenable number.

413141241514340 is an abundant number, since it is smaller than the sum of its proper divisors (469417425334540).

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

413141241514340 is a wasteful number, since it uses less digits than its factorization.

413141241514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283857392 (or 283857390 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

Adding to 413141241514340 its reverse (43415142141314), we get a palindrome (456556383655654).

The spelling of 413141241514340 in words is "four hundred thirteen trillion, one hundred forty-one billion, two hundred forty-one million, five hundred fourteen thousand, three hundred forty".