413413234303240 has 64 divisors (see below), whose sum is σ = 930413604510000. Its totient is φ = 165323729879040.

The previous prime is 413413234303231. The next prime is 413413234303247. The reversal of 413413234303240 is 42303432314314.

It can be written as a sum of positive squares in 8 ways, for example, as 33170020272964 + 380243214030276 = 5759342^2 + 19499826^2 .

It is a super-2 number, since 2×413413234303240² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413413234303240.

It is not an unprimeable number, because it can be changed into a prime (413413234303247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2680438446 + ... + 2680592674.

Almost surely, 2^{413413234303240} is an apocalyptic number.

413413234303240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413413234303240 is an abundant number, since it is smaller than the sum of its proper divisors (517000370206760).

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

413413234303240 is a wasteful number, since it uses less digits than its factorization.

413413234303240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170650 (or 170646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 413413234303240 its reverse (42303432314314), we get a palindrome (455716666617554).

The spelling of 413413234303240 in words is "four hundred thirteen trillion, four hundred thirteen billion, two hundred thirty-four million, three hundred three thousand, two hundred forty".