413321542002 has 24 divisors (see below), whose sum is σ = 897040199484. Its totient is φ = 137541510144.

The previous prime is 413321541991. The next prime is 413321542009. The reversal of 413321542002 is 200245123314.

413321542002 is a `hidden beast` number, since 413 + 32 + 15 + 4 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380838328641 + 32483213361 = 617121^2 + 180231^2 .

It is a super-3 number, since 3×413321542002³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (413321542009) 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 11 ways as a sum of consecutive naturals, for example, 19350463 + ... + 19371810.

Almost surely, 2^413321542002 is an apocalyptic number.

413321542002 is an abundant number, since it is smaller than the sum of its proper divisors (483718657482).

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

413321542002 is a wasteful number, since it uses less digits than its factorization.

413321542002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38722874 (or 38722871 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 413321542002 its reverse (200245123314), we get a palindrome (613566665316).

The spelling of 413321542002 in words is "four hundred thirteen billion, three hundred twenty-one million, five hundred forty-two thousand, two".