413021010042 has 64 divisors (see below), whose sum is σ = 921437193600. Its totient is φ = 137132714880.

The previous prime is 413021010019. The next prime is 413021010049. The reversal of 413021010042 is 240010120314.

413021010042 is a `hidden beast` number, since 413 + 0 + 210 + 1 + 0 + 0 + 42 = 666.

It is a super-2 number, since 2×413021010042² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413021009997 and 413021010024.

It is not an unprimeable number, because it can be changed into a prime (413021010049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16298742 + ... + 16324062.

It is an arithmetic number, because the mean of its divisors is an integer number (14397456150).

Almost surely, 2^413021010042 is an apocalyptic number.

413021010042 is an abundant number, since it is smaller than the sum of its proper divisors (508416183558).

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

413021010042 is a wasteful number, since it uses less digits than its factorization.

413021010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508 (or 26502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413021010042 its reverse (240010120314), we get a palindrome (653031130356).

The spelling of 413021010042 in words is "four hundred thirteen billion, twenty-one million, ten thousand, forty-two".