413310413000 has 32 divisors (see below), whose sum is σ = 967146368760. Its totient is φ = 165324164800.

The previous prime is 413310412993. The next prime is 413310413069. The reversal of 413310413000 is 314013314.

It can be written as a sum of positive squares in 4 ways, for example, as 229538726404 + 183771686596 = 479102^2 + 428686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206654207 + ... + 206656206.

Almost surely, 2^413310413000 is an apocalyptic number.

413310413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413310413000 is an abundant number, since it is smaller than the sum of its proper divisors (553835955760).

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

413310413000 is a wasteful number, since it uses less digits than its factorization.

413310413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413310434 (or 413310420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413310413000 its reverse (314013314), we get a palindrome (413624426314).

The spelling of 413310413000 in words is "four hundred thirteen billion, three hundred ten million, four hundred thirteen thousand".