413103044113024 has 64 divisors (see below), whose sum is σ = 871411705540200. Its totient is φ = 194396419194880.

The previous prime is 413103044113003. The next prime is 413103044113049. The reversal of 413103044113024 is 420311440301314.

It can be written as a sum of positive squares in 4 ways, for example, as 281161799694400 + 131941244418624 = 16767880^2 + 11486568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82629294 + ... + 87486034.

Almost surely, 2^{413103044113024} is an apocalyptic number.

It is an amenable number.

413103044113024 is an abundant number, since it is smaller than the sum of its proper divisors (458308661427176).

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

413103044113024 is a wasteful number, since it uses less digits than its factorization.

413103044113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895861 (or 4895849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 413103044113024 its reverse (420311440301314), we get a palindrome (833414484414338).

The spelling of 413103044113024 in words is "four hundred thirteen trillion, one hundred three billion, forty-four million, one hundred thirteen thousand, twenty-four".