413209288840 has 32 divisors (see below), whose sum is σ = 931505439960. Its totient is φ = 164966464000.

The previous prime is 413209288823. The next prime is 413209288847. The reversal of 413209288840 is 48882902314.

It can be written as a sum of positive squares in 4 ways, for example, as 350068655556 + 63140633284 = 591666^2 + 251278^2 .

It is a super-3 number, since 3×413209288840³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (413209288847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9893011 + ... + 9934690.

Almost surely, 2^413209288840 is an apocalyptic number.

413209288840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413209288840 is an abundant number, since it is smaller than the sum of its proper divisors (518296151120).

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

413209288840 is a wasteful number, since it uses less digits than its factorization.

413209288840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19828233 (or 19828229 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 413209288840 in words is "four hundred thirteen billion, two hundred nine million, two hundred eighty-eight thousand, eight hundred forty".